Free Printable BPC quiz 310 q bank

1.

For an angle $\theta$ in standard position and a point (7, -24) on the terminal side, find $\tan\theta$ .

a)

$-\frac{24}{25}$

b)

$\frac{7}{25}$

c)

$-\frac{24}{7}$

d)

$-\frac{7}{24}$

2.

Given $\cos\theta=\frac{\sqrt{3}}{2}$ and $\theta$ in Quadrant 4, find $\sin\theta$ .

a)

$-\frac{1}{2}$

b)

$\frac{1}{2}$

c)

$-\frac{\sqrt{3}}{2}$

d)

$-\frac{\sqrt{2}}{2}$

3.

The terminal side of θ in standard position contains the point (3,4). Which of the following is true?

a)

cos θ = 3/4

b)

sec θ = 3/5

c)

sin θ= 3/5

d)

csc θ=5/4

4.

The terminal side of θ in standard position contains the point (0,4). What does cos θ equal?

a)

Undefined

b)

0

c)

1/4

5.

Find the reference angle for

$\frac{7\pi}{4}$
(Type pi for the $\pi$ symbol)

(a)

6.

Name the quadrant in which the angle $\theta$ lies.

\sin\theta<0,\ \cos\theta>0

a)

I

b)

II

c)

III

d)

IV

7.

Use the reference angle to find the exact value of the expression. Do not use calculator.

$\sin\ \frac{3\pi}{4}$

a)

$\frac{\sqrt{2}}{2}$

b)

$-\frac{\sqrt{2}}{2}$

c)

$\sqrt{2}$

d)

$-\frac{\sqrt{3}}{2}$

8.

Find the reference angle for

-135\degree

(Type only the angle without the degree symbol)

(a)

9.

Find the value for

\sin180\degree

a)

0

b)

1

c)

-1

d)

undefined

10.

Find the exact value of the expression

\tan\left(7\pi\right)

(a)

11.

Find the reference angle for

$-\frac{2\pi}{3}$

a)

$\frac{2\pi}{3}$

b)

$\frac{\pi}{3}$

c)

$\frac{\pi}{6}$

d)

$-\frac{\pi}{3}$

12.

Find the exact value of

$\cos\left(-45\degree\right)$

a)

$\frac{\sqrt{3}}{2}$

b)

$\frac{1}{2}$

c)

$\sqrt{2}$

d)

$\frac{\sqrt{2}}{2}$

13.

Which function is positive in quadrant IV?

a)

$\sin\theta$

b)

$\cos\theta$

c)

$\tan\theta$

d)

$\csc\theta$

14.

cosθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

15.

\sin90\degree

= ______

a)

0

b)

1

c)

-1

d)

does not exist

16.

Which trig functions are positive in Q2?

a)

$\sin\theta,\csc\theta$

b)

$\cos\theta,\sec\theta$

c)

$\tan\theta,\cot\theta$

d)

none of the above

17.

cot 30 $\degree$

a)

$\frac{\sqrt{2}}{2}$

b)

$\sqrt{3}$

c)

$\frac{\sqrt{3}}{3}$

d)

$\frac{1}{2}$

18.

If tanθ = -¾ and cscθ > 0, then secθ =

a)

-4/5

b)

5/4

c)

-5/4

d)

4/5

19.

Given the ordered pair (-¹/₂ , ^√3/₂), what is the value of cosine?

a)

√3

b)

^-1/₂

c)

^√3/₂

d)

^√3/₃

20.

Evaluate sin (7π/6).

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

21.

Evaluate cos (150^o).

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

22.

What is the tan(3π/4)?

a)

-1

b)

-√3/2

c)

√3/3

d)

1

23.

For an angle $\theta$ in standard position and a point (7, -24) on the terminal side, find $\sin\theta$ .

a)

$-\frac{24}{25}$

b)

$\frac{7}{25}$

c)

$-\frac{24}{7}$

d)

$-\frac{7}{24}$

24.

For an angle $\theta$ in standard position and a point (7, -24) on the terminal side, find $\cos\theta$ .

a)

$-\frac{24}{25}$

b)

$\frac{7}{25}$

c)

$-\frac{24}{7}$

d)

$-\frac{7}{24}$

25.

Given $\cos\theta=\frac{\sqrt{3}}{2}$ and $\theta$ in Quadrant 4, find $\sin\theta$ .

a)

$-\frac{1}{2}$

b)

$\frac{1}{2}$

c)

$-\frac{\sqrt{3}}{2}$

d)

$-\frac{\sqrt{2}}{2}$

26.

For an angle $\theta$ in standard position with a point (6, -8) on the terminal side, what is the value of r (the hypotenuse)?

a)

5

b)

10

c)

$\sqrt{5}$

d)

$\sqrt{-28}$

27.

For an angle $\theta$ in standard position with a point (6, -8) on the terminal side, what is the value of $\cos\theta$ ?

a)

$\frac{6}{10}$

b)

$-\frac{8}{10}$

c)

$\frac{10}{6}$

d)

$-\frac{6}{8}$

28.

For an angle $\theta$ in standard position with a point (6, -8) on the terminal side, what is the value of $\sin\theta$ ?

a)

$\frac{6}{10}$

b)

$-\frac{8}{10}$

c)

$\frac{10}{6}$

d)

$-\frac{6}{8}$

29.

Given $0<\theta<\pi$ and $\cos\theta>0$ , what what quadrant is $\theta$ in?

a)

1

b)

2

c)

3

d)

4

30.

Given $\frac{\pi}{2}<\theta<\frac{3\pi}{2}$ and $\sin\theta\ <\ 0$ , what quadrant is $\theta$ in?

a)

1

b)

2

c)

3

d)

4

31.

The terminal side of θ in standard position contains the point (5,12). What does sin θ equal?

a)

5/13

b)

5/12

c)

12/13

d)

13/5

32.

The terminal side of θ in standard position contains the point (8,-15). What does tan θ equal?

a)

-17/8

b)

-15/17

c)

-15/8

d)

8/17

33.

The terminal side of θ in standard position contains the point (-9,-40). What does csc θ equal?

a)

-40/41

b)

41/40

c)

40/41

d)

-41/40

34.

The terminal side of θ in standard position contains the point (-4,3). Which of the following is true?

a)

sin θ = 3/5

b)

cos θ = 3/5

c)

tan θ = 3/5

d)

cot θ = 4/3

35.

The terminal side of θ in standard position contains the point (0,4). What does cos θ equal?

a)

Undefined

b)

0

c)

1/4

36.

If θ is an angle in standard position and r = √(x²+ y²), cos θ = __

a)

x/r

b)

y/r

c)

r/x

d)

y/x

37.

If θ is an angle in standard position and r = √(x²+ y²), tan θ = __

a)

x/r

b)

y/r

c)

r/x

d)

y/x

38.

If θ is an angle in Quadrant IV, which trig ratios will be positive

a)

sin θ

b)

cos θ

c)

tan θ

d)

cos θ and tan θ

39.

If θ is an angle in Quadrant II, which trig ratios will be positive

a)

sin θ

b)

cos θ

c)

tan θ

d)

cos θ and sin θ

40.

Let (-4, 3) be a point on the terminal side of θ. Which of the following is FALSE?

a)

cos θ = -4/5

b)

tan θ = -3/4

c)

sin θ = 3/5

d)

cos θ = 4/5

41.

The point (3, -4) is on the terminal side of θ. Find cosθ.

a)

3/5

b)

-3/5

c)

-3/4

d)

-4.5

42.

The point (-2√5, 4) is on the terminal side of θ. Find cscθ.

a)

-√5/3

b)

2/3

c)

3/2

d)

-(3√5)/5

43.

The point (-2√2, 2√2) is on the terminal side of θ. Find tanθ.

a)

-1

b)

1

c)

√2

d)

-√2)/2

44.

The point (9, -2) is on the terminal side of θ. Find secθ.

a)

-2/√85)

b)

9/√77

c)

-2/9

d)

√85)/9

45.

If cotθ = -0.01, Find tanθ

a)

1/100

b)

10

c)

-1/10

d)

-100

46.

If secθ = -4 and sinθ > 0, Find tanθ.

a)

-1/4

b)

√15/4

c)

-√15

d)

-√3/4

47.

If sinθ = - √3/5 and cosθ > 0, Find secθ.

a)

-3/√22

b)

5/√22

c)

√2/5

d)

-5/√3

48.

If sinθ = √2/6 and cosθ < 0, Find cosθ.

a)

-6/√2

b)

-√34/√2

c)

-2/3

d)

-√34/6

49.

What is 4π/3 radians in degrees?

a)

120°

b)

240°

c)

210°

d)

270°

50.

What is the exact value of $\sec\ \frac{\pi}{3}$

a)

$\frac{\sqrt{3}}{3}$

b)

$\sqrt{2}$

c)

$2$

d)

$1$

51.

A 13 ft. ladder is leaning against the house. The top of the ladder touches the house at 10 feet above the ground. How far away is the bottom of the ladder from the house?

a)

10 feet

b)

7.5 feet

c)

8.3 feet

d)

3.8 feet

52.

tan 2π =

a)

0

b)

1

c)

-1

d)

undefined

53.

Find sec(θ) given that the terminal side of θ contains the point $\left(\sqrt{5},2\right)$ .

a)

$\frac{3\sqrt{5}}{5}$

b)

$\frac{3}{2}$

c)

$\frac{\sqrt{5}}{2}$

d)

$-\frac{\sqrt{5}}{3}$

54.

Find sec(θ) given that the terminal side of θ contains the point $\left(\sqrt{5},2\right)$ .

a)

$\frac{3\sqrt{5}}{5}$

b)

$\frac{3}{2}$

c)

$\frac{\sqrt{5}}{2}$

d)

$-\frac{\sqrt{5}}{3}$

55.

Find $\tan\left(\theta\right)$ given that $\sin\left(\theta\right)=-\frac{3}{5}$ and $\cos\left(\theta\right)>0$ .

a)

$-\frac{3}{4}$

b)

$\frac{4}{5}$

c)

$\frac{4}{3}$

d)

$-\frac{5}{3}$

56.

Name the quadrant in which ∠A lies, if tanA < 0, cosA < 0

a)

4

b)

3

c)

2

d)

1

57.

What is the reference angle for $\frac{4\pi}{3}$ ?

a)

$\frac{\pi}{3}$

b)

$\frac{\pi}{6}$

c)

$\frac{\pi}{4}$

d)

$\frac{7\pi}{6}$

58.

Using reference angles, find the exact value of sin(300⁰).

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

59.

Let θ be an angle in standard position.

In which quadrant or quadrants

can sin θ is negative cos θ is positive?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

60.

Let θ be an angle in standard position.

In which quadrant or quadrants

can sin θ is negative cos θ have opposite signs?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

61.

Let θ be an angle in standard position.

In which quadrant or quadrants

can sin θ is negative cos θ have opposite signs?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

62.

Let θ be an angle in standard position.

In which quadrant or quadrants

is tanθ>0 and sinθ<0 ?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

63.

Find the reference angle for

120\degree

(Type the angle with no degree symbol)

(a)

64.

Find the reference angle for

\frac{7\pi}{4}

(Type pi for the

\pi

symbol)

(a)

65.

Name the quadrant in which the angle $\theta$ lies.

\sin\theta<0,\ \cos\theta>0

a)

I

b)

II

c)

III

d)

IV

66.

Find the value for

\sin180\degree

a)

0

b)

1

c)

-1

d)

undefined

67.

Find the reference angle for

$-\frac{2\pi}{3}$

a)

$\frac{2\pi}{3}$

b)

$\frac{\pi}{3}$

c)

$\frac{\pi}{6}$

d)

$-\frac{\pi}{3}$

68.

Find the exact value of

$\cos\left(-45\degree\right)$

a)

$\frac{\sqrt{3}}{2}$

b)

$\frac{1}{2}$

c)

$\sqrt{2}$

d)

$\frac{\sqrt{2}}{2}$

69.

State the reference angle for

$600\degree$
(Type the answer with no degree symbol)

(a)

70.

Which function is positive in quadrant IV?

a)

$\sin\theta$

b)

$\cos\theta$

c)

$\tan\theta$

d)

$\csc\theta$

71.

The reference angle of an angle is always an acute angle.

a)

True

b)

False

72.

Let (3,4) be a point on the terminal side of θ. What is sec ø?

a)

4/3

b)

3/4

c)

5/3

d)

2/3

73.

let (-3,-3) be a point on the terminal side of θ.

What is cot θ?

a)

1

b)

2

c)

3

d)

Not me

74.

Find the value of sin $\theta$ given the point

\left(2,\ -\sqrt{5}\right)

a)

$-\frac{\sqrt{10}}{3}$

b)

$-\frac{3\sqrt{10}}{10}$

c)

$\frac{\sqrt{10}}{10}$

d)

$-\frac{\sqrt{5}}{3}$

75.

sinθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

76.

What is the reference angle for -30°?

a)

150°

b)

30°

c)

80°

d)

60°

77.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

78.

What is the reference angle for 240°?

a)

60°

b)

30°

c)

45°

d)

210°

79.

$\tan\ 300\degree$ = ______

a)

$\frac{1}{\sqrt{3}}\ or\ \frac{\sqrt{3}}{3}$

b)

$-\ \frac{1}{\sqrt{3}}\ or\ \ -\frac{\sqrt{3}}{3}$

c)

$\sqrt{3}$

d)

$-\sqrt{3}$

80.

\sin90\degree

= ______

a)

0

b)

1

c)

-1

d)

does not exist

81.

Which trig functions are positive in Q2?

a)

$\sin\theta,\csc\theta$

b)

$\cos\theta,\sec\theta$

c)

$\tan\theta,\cot\theta$

d)

none of the above

82.

cot 30 $\degree$

a)

$\frac{\sqrt{2}}{2}$

b)

$\sqrt{3}$

c)

$\frac{\sqrt{3}}{3}$

d)

$\frac{1}{2}$

83.

Evaluate: $\cos\ \frac{3\pi}{4}$

a)

$-\frac{1}{\sqrt{3}}$

b)

$-\frac{1}{\sqrt{2}}$

c)

$\frac{2}{\sqrt{3}}$

d)

$\sqrt{2}$

84.

Find the values of sinθ , cosθ , and tanθ for the angle θ in standard position having (– 4, –3) on its terminal side.

a)

$\sin\theta=-\frac{3}{5},\ \cos\theta=-\frac{4}{5},\ \tan\theta=\frac{3}{4}$

b)

$\sin\theta=\frac{4}{5},\ \cos\theta=-\frac{3}{5},\ \tan\theta=\frac{4}{3}$

c)

$\sin\theta=-\frac{3}{5},\ \cos\theta=\frac{4}{5},\ \tan\theta=\frac{3}{4}$

d)

$\sin\theta=\frac{4}{5},\ \cos\theta=\frac{3}{5},\ \tan\theta=-\frac{3}{4}$

85.

What is $\frac{11\pi}{6}$ radians in degrees?

a)

30

b)

330

c)

360

d)

300

86.

What is $\frac{2\pi}{3}$ radians in degrees?

a)

$150\degree$

b)

$120\degree$

c)

$180\degree$

d)

$30\degree$

87.

If tanθ = -¾ and cscθ > 0, then secθ =

a)

-4/5

b)

5/4

c)

-5/4

d)

4/5

88.

Choose the quadrant where both the tangent and cosine functions produce a negative value.

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

89.

Choose the quadrant where all six trig functions produce a positive value.

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

90.

In which quadrant are both sine and cosine negative?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

91.

In which quadrant is sine positive and secant negative?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

92.

If tanθ = -¾ and cscθ > 0, then cotθ =

a)

-4/5

b)

5/4

c)

-4/3

d)

4/5

93.

If tanθ = -¾ and cscθ > 0, then cosθ =

a)

-4/5

b)

5/4

c)

-5/4

d)

4/5

94.

If sinθ = -5/13 and tanθ > 0, then cosθ =

a)

13/12

b)

-13/12

c)

12/13

d)

-12/13

95.

If sinθ = -5/13 and tanθ > 0, then cosθ =

a)

13/12

b)

-13/12

c)

12/13

d)

-12/13

96.

If sinθ = -5/13 and tanθ > 0, then tanθ =

a)

5/12

b)

-13/12

c)

12/5

d)

-12/13

97.

Given that tanx = -5/4 and cosx > 0, what quadrant does the angle lie in?

a)

1

b)

2

c)

3

d)

4

98.

sinx = 5/13 and tanx < 0, what is cosx?

a)

12/13

b)

-5/13

c)

-12/13

d)

5/12

99.

Tanx < 0 and cscx < 0, what quadrant does the angle lie in?

a)

1

b)

2

c)

3

d)

4

100.

Cotx = -3/11 and sinx > 0. What quadrant does the angle lie in?

a)

1

b)

2

c)

3

d)

4

101.

Cosx = -4/5. The angle lies in Quadrant 2. What is cotx?

a)

4/3

b)

-3/4

c)

3/4

d)

-4/3

102.

If θ is an angle in standard position and r = √(x²+ y²), cos θ = __

a)

x/r

b)

y/r

c)

r/x

d)

y/x

103.

If θ is an angle in standard position and r = √(x²+ y²), sin θ = __

a)

x/r

b)

y/r

c)

r/x

d)

y/x

104.

If $\tan\theta=-\frac{21}{20}$ and $\sin\theta<0$ in which quadrant could the terminal side of $\theta$ lie?

a)

I

b)

II

c)

III

d)

IV

105.

If $\sec\theta=-\sqrt{10}$ and $\cot\theta>0$ in which quadrant could the terminal side of $\theta$ lie?

a)

I

b)

II

c)

III

d)

IV

106.

Find cos θ if sin θ = -12/13 and θ is in quadrant III.

a)

-5/13

b)

5/13

c)

-13/12

d)

-12/5

107.

True or false: $\sin\theta$ is positive in quadrant 3?

a)

True

b)

False

108.

Find the exact value of $\sec300\degree$ .

a)

-2

b)

$\frac{-2\sqrt{3}}{3}$

c)

2

d)

$\frac{2\sqrt{3}}{3}$

109.

Use special triangles to find $\cos150\degree$ .

a)

$\frac{\sqrt{3}}{2}$

b)

$-\frac{\sqrt{3}}{2}$

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

110.

Find the exact value of tan 240°.

a)

$-\sqrt{3}$

b)

$-\frac{\sqrt{3}}{3}$

c)

$\sqrt{3}$

d)

$\frac{\sqrt{3}}{3}$

111.

Use special triangles to find $\cot225\degree$ .

a)

$\sqrt{2}$

b)

$-\sqrt{2}$

c)

1

d)

-1

112.

Use special triangles to find $\sin30\degree$ .

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{3}}{2}$

c)

$\frac{\sqrt{2}}{2}$

d)

0

113.

Find the exact value of tan 240°.

a)

$-\sqrt{3}$

b)

$-\frac{\sqrt{3}}{3}$

c)

$\sqrt{3}$

d)

$\frac{\sqrt{3}}{3}$

114.

Find the value of csc θ for angle θ in standard position if the point at (5, -2) lies on its terminal side.

a)

$-\frac{\sqrt{29}}{2}$

b)

$-\frac{2\sqrt{29}}{29}$

c)

$\frac{\sqrt{29}}{5}$

d)

$\frac{5\sqrt{29}}{29}$

115.

Find the value of csc θ for angle θ in standard position if the point at (5, -2) lies on its terminal side.

a)

$-\frac{\sqrt{29}}{2}$

b)

$-\frac{2\sqrt{29}}{29}$

c)

$\frac{\sqrt{29}}{5}$

d)

$\frac{5\sqrt{29}}{29}$

116.

Find the value of sec $\theta$ for angle $\theta$ in standard position if the point at (-2, -4) lies on its terminal side.

a)

$\frac{\sqrt{5}}{2}$

b)

$\sqrt{5}$

c)

$-\frac{\sqrt{5}}{2}$

d)

$-\sqrt{5}$

117.

Suppose θ is an angle in standard position whose terminal side lies in Quadrant II. If $\sin\theta=\frac{12}{13}$ , find the value of sec θ .

a)

$-\frac{5}{13}$

b)

$-\frac{13}{5}$

c)

$-\frac{12}{5}$

d)

$\frac{13}{12}$

118.

Suppose $\theta$ is an angle in standard position whose terminal side lies in Quadrant III. If $\cos\theta=-\frac{5}{13}$ , find the value of cot $\theta$ .

a)

$-\frac{12}{13}$

b)

$-\frac{13}{12}$

c)

$\frac{5}{12}$

d)

$\frac{12}{5}$

119.

Write $-\frac{2\pi}{9}$ in degrees.

a)

40

b)

32

c)

-40

d)

-57

120.

Write 252 degrees in radians.

a)

$\frac{5\pi}{7}$

b)

$\frac{7\pi}{5}$

c)

$\frac{2\pi}{3}$

d)

$\frac{11\pi}{6}$

121.

$\frac{11\pi}{4}$ lies in which quadrant?

a)

1

b)

2

c)

3

d)

4

122.

$\tan\left(\frac{5\pi}{4}\right)$

a)

√2/2

b)

-√2/2

c)

-1

d)

1

123.

$\cos\left(\frac{5\pi}{4}\right)$

a)

-√3/2

b)

-1/2

c)

-√2/2

d)

√2/2

124.

Find the exact value of the trig ratio.
$\sin\left(-\frac{11\pi}{6}\right)$

a)

$-\frac{1}{2}$

b)

$\frac{\sqrt{3}}{2}$

c)

$\frac{1}{2}$

d)

$-\frac{\sqrt{3}}{2}$

125.

Find the exact value of the trig ratio.
$\cos\left(-120\degree\right)$

a)

$-\frac{1}{2}$

b)

$\frac{\sqrt{3}}{2}$

c)

$\frac{1}{2}$

d)

$-\frac{\sqrt{3}}{2}$

126.

Find the exact value of the trig ratio.
$\sin180\degree$

a)

$0$

b)

$1$

c)

$\frac{1}{2}$

d)

$-1$

127.

Find the exact value of the trig ratio.
$\sin180\degree$

a)

$0$

b)

$1$

c)

$\frac{1}{2}$

d)

$-1$

128.

csc 60

a)

2

b)

-2

c)

2√3/3

d)

-2√3/3

129.

sec 135

a)

√2

b)

-√2

c)

√2/2

d)

-√2/2

130.

If cscx = undefined, which of the following could be the angle?

a)

π

b)

π/2

c)

3
π/3

d)

π/6

131.

If tanx = 0, what is cotx?

a)

0

b)

1

c)

-1

d)

undefined

132.

In which quadrant(s) is/are sinθ positive?

a)

I

b)

II

c)

I and II

d)

III and IV

133.

Which trig functions are positive in the 3rd quadrant?

a)

Sine

b)

Cosine

c)

Tangent

d)

Cosecant

e)

Cotangent

134.

In which quadrant is sinΘ positive and secΘ negative?

a)

QI

b)

QII

c)

QIII

d)

QIV

135.

If tan(s) is positive which of the following is true?

a)

The angle could end in the first or the second quadrant

b)

The angle could end in the second or the fourth quadrant

c)

The angle could end in the second or the third quadrant

d)

The angle could end in the first or the third quadrant

136.

What is csc(x) equivalent to?

a)

1/sin(x)

b)

1/tan(x)

c)

sin(x)

d)

1/cos(x)

137.

Please select the correct solution
cos²x + sin ²x=

a)

1

b)

csc²x + sec²x

c)

sin²x

d)

tan²x

138.

Please select the correct solution

a)

csc x

b)

sec x

c)

cot x

d)

tan x

139.

*

a)

sin x

b)

cos x

c)

tan x

d)

csc x

140.

*

a)

csc x

b)

sec x

c)

cot x

d)

tan x

141.

If cosΘ = ⅘, and tanΘ < 0, find cscΘ.

a)

5/3

b)

-3/5

c)

-5/3

d)

3/5

142.

If secΘ = -5, and Θ is in QIII, what is cotΘ?

a)

$\frac{\sqrt[]{6}}{12}$

b)

$-\frac{\sqrt[]{6}}{12}$

c)

$\frac{\sqrt[]{6}}{2}$

d)

$-\frac{\sqrt[]{6}}{2}$

143.

If tanΘ = 12/5, and cosΘ < 0, find secΘ.

a)

13/12

b)

-5/13

c)

-13/5

d)

-13/12

144.

If $\sin\theta=\frac{\sqrt[]{5}}{4}\$ and $\cos\theta=-\frac{\sqrt[]{11}}{4}$ , what is $\tan\theta$ ?

a)

$\frac{\sqrt[]{55}}{11}$

b)

$-\frac{\sqrt[]{55}}{11}$

c)

$\frac{\sqrt[]{55}}{5}$

d)

$-\frac{\sqrt[]{55}}{5}$

145.

a)

2√3/3

b)

1

c)

√2

d)

2

146.

Find -sec²(π/6) + 4cot²(2π/3)

a)

8/3

b)

0

c)

4/9

d)

2√3/9

147.

Find -sec²(π/6) + 4cot²(2π/3)

a)

8/3

b)

0

c)

4/9

d)

2√3/9

148.

Find the reference angle for an angle measuring θ = -310⁰

a)

50⁰

b)

-50⁰

c)

20⁰

d)

40⁰

149.

Convert from radians to degrees: 7π ∕ 4

a)

330°

b)

45°

c)

315°

d)

75°

150.

Convert from degrees to radians: 10°

a)

π ∕ 18

b)

π ∕ 180

c)

3π ∕5

d)

2π ∕ 36

BPC quiz 310 q bank

Total questions: 150

Worksheet time: 6hrs 57mins

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