Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

10.3 Quiz Review

Total questions: 80

Worksheet time: 7hrs 40mins

Name
Class
Date
1.

What is the reciprocal of the sine function?

a)

cosecant

b)

cosine

c)

secant

d)

cotangent

2.
Secant is the reciprocal of what function?
a)
Cosecant
b)
Sine
c)
Cosine
d)
Tangent
3.
Cotangent is the reciprocal of what function?
a)
Cosecant
b)
Sine
c)
Cosine
d)
Tangent
4.
Given the Cos(x) = -2/3, then the Sec(x) = ?
a)
-2/3
b)
-3/2
c)
3/2
d)
2/3
5.
Given the Csc(x) = 1, then the Sin(x) = ?
a)
1
b)
-1
c)
0
d)
Undefined
6.
Find secΘ.
a)
17/15
b)
15/17
c)
8/17
d)
17/8
7.
Find cotΘ.
a)
3/4
b)
4/3
c)
5/4
d)
5/3
8.
Find cscΘ.
a)
15/17
b)
17/15
c)
8/17
d)
17/8
9.

Write all six trig ratios.

a)

sin⁡θ=2425 cos⁡θ=725 tan⁡θ=247 \sin\theta=\frac{24}{25}\ \cos\theta=\frac{7}{25}\ \tan\theta=\frac{24}{7}\   csc⁡θ=2524 sec⁡θ=257 cot⁡θ=724\csc\theta=\frac{25}{24}\ \sec\theta=\frac{25}{7}\ \cot\theta=\frac{7}{24}  

b)

  sin⁡θ=725 cos⁡θ=2425 tan⁡θ=724\sin\theta=\frac{7}{25}\ \cos\theta=\frac{24}{25}\ \tan\theta=\frac{7}{24}   csc⁡θ=257 sec⁡θ=2524 cot⁡θ=247\csc\theta=\frac{25}{7}\ \sec\theta=\frac{25}{24}\ \cot\theta=\frac{24}{7}  

10.
                                                                                                                               
                                          Solve for DE
a)
36.5
b)
18.8
c)
8.5
d)
7.9
11.

In which two quadrants is inverse sine defined?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

12.

In which two quadrants is inverse cosine defined?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

13.

In which two quadrants is inverse tangent defined?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

14.

True or False: arcsin⁡(x)\arcsin\left(x\right)   is another way to write sin⁡−1(x)\sin^{-1}\left(x\right)  .

a)

TRUE!

b)

FALSE!

15.

Evaluate the expression in RADIANS. Give your answer to the hundredths place.

sin⁡−1(0.72)=\sin^{-1}\left(0.72\right)=  

(a)  

16.

Evaluate the expression in RADIANS. Give your answer to the hundredths place.

arccos⁡(1)=\arccos\left(1\right)=  

(a)  

17.

Evaluate the expression in RADIANS. Give your answer to the hundredths place.

cos⁡−1(−0.27)=\cos^{-1}\left(-0.27\right)=  

(a)  

18.

Evaluate the expression in RADIANS. Give your answer to the hundredths place.

arctan⁡(−1.73)=\arctan\left(-1.73\right)=  

(a)  

19.

Evaluate the inverse trig function USING THE UNIT CIRCLE. Give your answer in DEGREES.

sin⁡−1(−32)\sin^{-1}\left(-\frac{\sqrt[]{3}}{2}\right)  

a)

45°45\degree  

b)

300°300\degree  

c)

30°30\degree  

d)

315°315\degree  

20.

Evaluate the inverse trig function USING THE UNIT CIRCLE. Give your answer in DEGREES.

arcsin⁡(12)=\arcsin\left(\frac{1}{2}\right)=  

a)

45°45\degree  

b)

60°60\degree  

c)

30°30\degree  

d)

90°90\degree  

21.

Evaluate the inverse trig function USING THE UNIT CIRCLE. Give your answer in DEGREES.

cos⁡−1(−12)=\cos^{-1}\left(-\frac{1}{2}\right)=  

a)

240°240\degree  

b)

60°60\degree  

c)

150°150\degree  

d)

120°120\degree  

22.

Evaluate the inverse trig function USING THE UNIT CIRCLE. Give your answer in DEGREES.

arccos⁡(−22)\arccos\left(-\frac{\sqrt[]{2}}{2}\right)  

a)

180°180\degree  

b)

135°135\degree  

c)

150°150\degree  

d)

120°120\degree  

23.

Evaluate the inverse trig function USING THE UNIT CIRCLE. Give your answer in DEGREES.

arctan⁡(3)\arctan\left(\sqrt[]{3}\right)  

a)

60°60\degree  

b)

300°300\degree  

c)

270°270\degree  

d)

30°30\degree  

24.

Evaluate the inverse trig function USING THE UNIT CIRCLE. Give your answer in DEGREES.

tan⁡−1(−1)=\tan^{-1}\left(-1\right)=  

a)

45°45\degree  

b)

330°330\degree  

c)

270°270\degree  

d)

315°315\degree  

25.

Find m∠Cm\angle C  . Give your answer in DEGREES to the hundredths place. (Note: drawing is NOT to scale).

a)

90°90\degree  

b)

68.32°68.32\degree  

c)

73.74°73.74\degree  

d)

70.48°70.48\degree  

26.

Find m∠Tm\angle T  . Give your answer in DEGREES to the hundredths place. (Note: drawing is NOT to scale).

a)

25.22°25.22\degree  

b)

16.26°16.26\degree  

c)

73.74°73.74\degree  

d)

35.47°35.47\degree  

27.
a)
-π/3
b)
4π/3
c)
-2π/3
d)
2π/3
28.
a)
0
b)
π/2
c)
2π
d)
3π
29.
a)
3π/4
b)
π/4
c)
5π/4
d)
-3π/4
30.
a)
π/6
b)
5π/6
c)
7π/6
d)
2π
31.
a)
π/2
b)
π
c)
3π/2
d)
-3π/2
32.
Evaluate the function:  arcsin(-1/2)
a)
π/3
b)
π/6
c)
5π/6
d)
-π/6
33.
arccos (-√3/2)
a)
5π/6
b)
2π/3
c)
-π/6
d)
7π/6
34.
What is tan[arccos(-1)]?
a)
undefined
b)
0
c)
½
d)
1
35.
Evaluate the function:  tan[sin-1(-1/2)]
a)
√3
b)
√3/3
c)
-√3
d)
-√3/3
36.
cos-1[tan(-π/4)] = 
a)
0
b)
π
c)
π/4
d)
3π/4
37.
What is the RANGE of angles for inverse sine?
a)
[0, π]
b)
[-1, 1]
c)
[-π/2, π/2]
d)
(-∞, ∞)
38.
What RANGE of angles for inverse cosine?
a)
[0, π]
b)
(-∞, ∞)
c)
[-π/2, π/2]
d)
[-1, 1]
39.
What is the RANGE of angles for inverse tangent?
a)
[-π/2, π/2]
b)
(-π/2, π/2)
c)
[0, π]
d)
(-∞, ∞)
40.
What is the period
of
 y = 3 sin 2x?
a)
2
b)
3
c)
180
d)
360
41.
What is the amplitude of y = 3 cos 2x?
a)
3
b)
2
c)
90
90⁰
d)
350⁰
42.

−23=−4cos⁡x-2\sqrt[]{3}=-4\cos x  

a)

π6,5π6\frac{\pi}{6},\frac{5\pi}{6}  

b)

π3,5π3\frac{\pi}{3},\frac{5\pi}{3}  

c)

π6\frac{\pi}{6}  

d)

π6,  11π6\frac{\pi}{6},\ \ \frac{11\pi}{6}  

43.

sec⁡θ−2=−32\sec\theta-2=-\frac{3}{2}  

a)

θ=π3, 5π3\theta=\frac{\pi}{3},\ \frac{5\pi}{3}  

b)

θ=π4, 7π4\theta=\frac{\pi}{4},\ \frac{7\pi}{4}  

c)

No solution

44.

−3cot⁡x=3-3\cot x=\sqrt[]{3}  

a)

π3,  4π3\frac{\pi}{3},\ \ \frac{4\pi}{3}  

b)

2π3, 5π3\frac{2\pi}{3},\ \frac{5\pi}{3}  

c)

2π3, 4π3\frac{2\pi}{3},\ \frac{4\pi}{3}  

d)

5π6, 11π6\frac{5\pi}{6},\ \frac{11\pi}{6}  

45.

tan⁡x=tan⁡xsin⁡x\tan x=\tan x\sin x  

a)

x=0, π2, πx=0,\ \frac{\pi}{2},\ \pi  

b)

x=0, πx=0,\ \pi  

c)

x=0, π2x=0,\ \frac{\pi}{2}  

d)

No solution.

46.

3csc⁡2x=4+2csc⁡2x3\csc^2x=4+2\csc^2x  

a)

x=7π6, 11π6x=\frac{7\pi}{6},\ \frac{11\pi}{6}  

b)

x=π6, 5π6 x=\frac{\pi}{6},\ \frac{5\pi}{6}\  

c)

x=π6, 5π6, 7π6, 11π6x=\frac{\pi}{6},\ \frac{5\pi}{6},\ \frac{7\pi}{6},\ \frac{11\pi}{6}  

d)

No solution.

47.

2cos⁡2x=3cos⁡x−12\cos^2x=3\cos x-1  

a)

x=0, π6, 11π6x=0,\ \frac{\pi}{6},\ \frac{11\pi}{6}  

b)

x=0, π3, π, 5π3x=0,\ \frac{\pi}{3},\ \pi,\ \frac{5\pi}{3}  

c)

x=0, π3, 5π3x=0,\ \frac{\pi}{3},\ \frac{5\pi}{3}  

d)

x=2π3, π, 4π3x=\frac{2\pi}{3},\ \pi,\ \frac{4\pi}{3}  

48.

4−csc⁡2θ=4csc⁡θ−2csc⁡2θ4-\csc^2\theta=4\csc\theta-2\csc^2\theta  

a)

x=7π6, 11π6x=\frac{7\pi}{6},\ \frac{11\pi}{6}  

b)

x=π6, 5π6, 7π6, 11π6x=\frac{\pi}{6},\ \frac{5\pi}{6},\ \frac{7\pi}{6},\ \frac{11\pi}{6}  

c)

x=π4, 3π4x=\frac{\pi}{4},\ \frac{3\pi}{4}  

d)

θ=π6, 5π6\theta=\frac{\pi}{6},\ \frac{5\pi}{6}  

49.

sec⁡2x=−2tan⁡x\sec^2x=-2\tan x  

a)

x=π4, 5π4x=\frac{\pi}{4},\ \frac{5\pi}{4}  

b)

x=3π4, 7π4x=\frac{3\pi}{4},\ \frac{7\pi}{4}  

c)

x=3π4, 5π4x=\frac{3\pi}{4},\ \frac{5\pi}{4}  

d)

No solution.

50.

Challenge! The equation 9sin⁡θ=39^{\sin\theta}=3  has two solutions. One of them is 30°30\degree  . Find the other one.

a)

210°210\degree  

b)

150°150\degree  

c)

60°60\degree  

d)

330°330\degree  

51.

1+2sin⁡x=csc⁡x1+2\sin x=\csc x  

a)

π6, 5π6, 3π2\frac{\pi}{6},\ \frac{5\pi}{6},\ \frac{3\pi}{2}  

b)

π3, 2π3, 3π2\frac{\pi}{3},\ \frac{2\pi}{3},\ \frac{3\pi}{2}  

c)

π6, π2, 5π6\frac{\pi}{6},\ \frac{\pi}{2},\ \frac{5\pi}{6}  

d)

π3, π2, 2π3 \frac{\pi}{3},\ \frac{\pi}{2},\ \frac{2\pi}{3}\  

52.

Solve each equation using a calculator. Round to the nearest hundredth.

4+3cos⁡x=3.06+2cos⁡x4+3\cos x=3.06+2\cos x  

a)

35.90°, 160.05° 35.90\degree,\ 160.05\degree\  

b)

199.95°199.95\degree  

c)

160.05°, 199.95°160.05\degree,\ 199.95\degree  

d)

No solution.

53.

Solve each equation using a calculator. Round to the nearest hundredth. 5+4cot⁡θ=12.725+4\cot\theta=12.72  

a)

264.86°264.86\degree  

b)

27.39°, 207.39°27.39\degree,\ 207.39\degree  

c)

27.39°, 264.86°27.39\degree,\ 264.86\degree  

d)

No solution.

54.

Solve using a calculator. Round to the nearest degree.

3sin⁡2x+2sin⁡x−1=03\sin^2x+2\sin x-1=0  

a)

19°, 161°, 270°19\degree,\ 161\degree,\ 270\degree  

b)

19°, 161°19\degree,\ 161\degree  

c)

19°, 270°19\degree,\ 270\degree  

d)

199°, 270°, 341°199\degree,\ 270\degree,\ 341\degree  

55.

Solve using a calculator. Round to the nearest hundredth.

sec⁡2x+4sec⁡x=5\sec^2x+4\sec x=5  

a)

x=90°, 101.54°, 258.46°x=90\degree,\ 101.54\degree,\ 258.46\degree  

b)

x=0°, 78.46°, 101.54°x=0\degree,\ 78.46\degree,\ 101.54\degree  

c)

x=0°, 101.54°, 258.46°x=0\degree,\ 101.54\degree,\ 258.46\degree  

d)

x=0°, 101.54°x=0\degree,\ 101.54\degree  

56.

Solve using a calculator. Round your answers to the nearest hundredth. 3sin⁡x−14=24csc⁡x3\sin x-14=24\csc x  

a)

x=228.59°, 311.41°x=228.59\degree,\ 311.41\degree  

b)

No solution.

c)

x=48.59°, 131.41°x=48.59\degree,\ 131.41\degree  

d)

x=48.59°, 311.41°x=48.59\degree,\ 311.41\degree  

57.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
−2+cot⁡θ=−3-2+\cot\theta=-3  

a)

θ=3π4,4π3,7π4\theta=\frac{3\pi}{4},\frac{4\pi}{3},\frac{7\pi}{4}  

b)

θ=3π4,7π4\theta=\frac{3\pi}{4},\frac{7\pi}{4}  

c)

θ=π3,4π3\theta=\frac{\pi}{3},\frac{4\pi}{3}  

d)

θ=3π4,4π3\theta=\frac{3\pi}{4},\frac{4\pi}{3}  

58.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
1=5−8cos⁡θ1=5-8\cos\theta  

a)

θ=π6,π3,11π6\theta=\frac{\pi}{6},\frac{\pi}{3},\frac{11\pi}{6}  

b)

θ=π6,11π6\theta=\frac{\pi}{6},\frac{11\pi}{6}  

c)

θ=π6\theta=\frac{\pi}{6}  

d)

θ=π3,5π3\theta=\frac{\pi}{3},\frac{5\pi}{3}  

59.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
−2=−5+3sec⁡θ-2=-5+3\sec\theta  

a)

θ=0,π3\theta=0,\frac{\pi}{3}  

b)

θ=0\theta=0  

c)

θ=π3,5π3\theta=\frac{\pi}{3},\frac{5\pi}{3}  

d)

No SolutionNo\ Solution  

60.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
4+4tan⁡θ=04+4\tan\theta=0  

a)

θ=π\theta=\pi  

b)

θ=7π4\theta=\frac{7\pi}{4}  

c)

θ=3π4,7π4\theta=\frac{3\pi}{4},\frac{7\pi}{4}  

d)

θ=0,3π4\theta=0,\frac{3\pi}{4}  

61.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
2=−4−3csc⁡θ2=-4-3\csc\theta  

a)

θ=2π3,7π6\theta=\frac{2\pi}{3},\frac{7\pi}{6}  

b)

θ=π3\theta=\frac{\pi}{3}  

c)

θ=7π6,11π6\theta=\frac{7\pi}{6},\frac{11\pi}{6}  

d)

θ=2π3,7π6,11π6\theta=\frac{2\pi}{3},\frac{7\pi}{6},\frac{11\pi}{6}  

62.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
−1−2sec⁡2θ=−3sec⁡2θ-1-2\sec^2\theta=-3\sec^2\theta  

a)

θ=0,π,4π3\theta=0,\pi,\frac{4\pi}{3}  

b)

θ=0\theta=0  

c)

θ=π4,3π4,5π4,7π4\theta=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}  

d)

θ=0,π\theta=0,\pi  

63.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
1+tan⁡2θ=4tan⁡2θ1+\tan^2\theta=4\tan^2\theta  

a)

θ=π6,5π6,7π6,11π6\theta=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}  

b)

θ=π3,2π3,4π3,5π3\theta=\frac{\pi}{3},\frac{2\pi}{3},\frac{4\pi}{3},\frac{5\pi}{3}  

c)

θ=π6,7π6\theta=\frac{\pi}{6},\frac{7\pi}{6}  

d)

θ=π6,5π6,7π6\theta=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6}  

64.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
3sin⁡2θ+4=5+sin⁡2θ3\sin^2\theta+4=5+\sin^2\theta  

a)

θ=π4,5π4,7π4\theta=\frac{\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}  

b)

θ=π4,7π4\theta=\frac{\pi}{4},\frac{7\pi}{4}  

c)

θ=π4,3π4\theta=\frac{\pi}{4},\frac{3\pi}{4}  

d)

θ=π4,3π4,5π4,7π4\theta=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}  

65.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
−3=cot⁡2θ−6-3=\cot^2\theta-6  

a)

θ=π6,7π4,11π6\theta=\frac{\pi}{6},\frac{7\pi}{4},\frac{11\pi}{6}  

b)

θ=7π6,5π4,11π6\theta=\frac{7\pi}{6},\frac{5\pi}{4},\frac{11\pi}{6}  

c)

θ=π6,7π6\theta=\frac{\pi}{6},\frac{7\pi}{6}  

d)

θ=π6,5π6,7π6,11π6\theta=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}  

66.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
4+csc⁡2θ=2csc⁡2θ4+\csc^2\theta=2\csc^2\theta  

a)

θ=5π6,4π3\theta=\frac{5\pi}{6},\frac{4\pi}{3}  

b)

θ=π6,5π6\theta=\frac{\pi}{6},\frac{5\pi}{6}  

c)

θ=π6,5π6,7π6,11π6\theta=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}  

d)

θ=π6\theta=\frac{\pi}{6}  

67.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
−sin⁡θcsc⁡θ+3csc⁡θ=2sin⁡θ+3csc⁡θ-\sin\theta\csc\theta+3\csc\theta=\sqrt{2}\sin\theta+3\csc\theta  

a)

θ=5π4,11π6\theta=\frac{5\pi}{4},\frac{11\pi}{6}  

b)

θ=3π4,7π6,7π4\theta=\frac{3\pi}{4},\frac{7\pi}{6},\frac{7\pi}{4}  

c)

θ=0,π,5π4,7π4\theta=0,\pi,\frac{5\pi}{4},\frac{7\pi}{4}  

d)

θ=5π4,7π4\theta=\frac{5\pi}{4},\frac{7\pi}{4}  

68.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
0=−3sin⁡θ−2sin⁡2θ0=-\sqrt{3}\sin\theta-2\sin^2\theta  

a)

θ=0,2π3,π,5π3\theta=0,\frac{2\pi}{3},\pi,\frac{5\pi}{3}  

b)

θ=π2,7π6,3π2,11π6\theta=\frac{\pi}{2},\frac{7\pi}{6},\frac{3\pi}{2},\frac{11\pi}{6}  

c)

θ=0,π,4π3,5π3\theta=0,\pi,\frac{4\pi}{3},\frac{5\pi}{3}  

d)

θ=0,π,5π3\theta=0,\pi,\frac{5\pi}{3}  

69.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
0=−3cot⁡θ+23cot⁡θsin⁡θ0=-3\cot\theta+2\sqrt{3}\cot\theta\sin\theta  

a)

θ=3π2\theta=\frac{3\pi}{2}  

b)

θ=0,5π6,π,11π6\theta=0,\frac{5\pi}{6},\pi,\frac{11\pi}{6}  

c)

θ=0,π2,3π2\theta=0,\frac{\pi}{2},\frac{3\pi}{2}  

d)

θ=π3,π2,2π3,3π2\theta=\frac{\pi}{3},\frac{\pi}{2},\frac{2\pi}{3},\frac{3\pi}{2}  

70.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
sec⁡θcsc⁡θ−csc⁡θ=2sec⁡θ−csc⁡θ\sec\theta\csc\theta-\csc\theta=\sqrt{2}\sec\theta-\csc\theta  

a)

θ=3π4\theta=\frac{3\pi}{4}  

b)

θ=π4,π2,3π4,3π2\theta=\frac{\pi}{4},\frac{\pi}{2},\frac{3\pi}{4},\frac{3\pi}{2}  

c)

θ=π4,3π4\theta=\frac{\pi}{4},\frac{3\pi}{4}  

d)

θ=π4\theta=\frac{\pi}{4}  

71.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
23sec⁡θcos⁡θ=−3sec⁡θ2\sqrt{3}\sec\theta\cos\theta=-3\sec\theta  

a)

θ=5π6\theta=\frac{5\pi}{6}  

b)

θ=5π6,7π6\theta=\frac{5\pi}{6},\frac{7\pi}{6}  

c)

θ=7π6,4π3\theta=\frac{7\pi}{6},\frac{4\pi}{3}  

d)

θ=5π6,11π6\theta=\frac{5\pi}{6},\frac{11\pi}{6}  

72.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
sec⁡2θ+3=2sec⁡θ+2\sec^2\theta+3=2\sec\theta+2  

a)

θ=0,π2,2π3,5π3\theta=0,\frac{\pi}{2},\frac{2\pi}{3},\frac{5\pi}{3}  

b)

θ=π3,π,5π3\theta=\frac{\pi}{3},\pi,\frac{5\pi}{3}  

c)

θ=π4\theta=\frac{\pi}{4}  

d)

θ=0\theta=0  

73.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
3sin⁡2θ=7sin⁡2θ+4sin⁡θ+13\sin^2\theta=7\sin^2\theta+4\sin\theta+1  

a)

θ=7π6\theta=\frac{7\pi}{6}  

b)

θ=0,π3,5π3\theta=0,\frac{\pi}{3},\frac{5\pi}{3}  

c)

θ=3π4,7π4\theta=\frac{3\pi}{4},\frac{7\pi}{4}  

d)

θ=7π6,11π6\theta=\frac{7\pi}{6},\frac{11\pi}{6}  

74.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
−sin⁡2θ=sin⁡θ+1−3sin⁡2θ-\sin^2\theta=\sin\theta+1-3\sin^2\theta  

a)

θ=π2,11π6\theta=\frac{\pi}{2},\frac{11\pi}{6}  

b)

θ=π2,7π6,11π6\theta=\frac{\pi}{2},\frac{7\pi}{6},\frac{11\pi}{6}  

c)

θ=2π3,7π6\theta=\frac{2\pi}{3},\frac{7\pi}{6}  

d)

θ=0,2π3,4π3\theta=0,\frac{2\pi}{3},\frac{4\pi}{3}  

75.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
2+3csc⁡θ+2csc⁡2θ=csc⁡2θ2+3\csc\theta+2\csc^2\theta=\csc^2\theta  

a)

θ=3π2,11π6\theta=\frac{3\pi}{2},\frac{11\pi}{6}  

b)

θ=3π4,7π4\theta=\frac{3\pi}{4},\frac{7\pi}{4}  

c)

θ=7π6,3π2,11π6\theta=\frac{7\pi}{6},\frac{3\pi}{2},\frac{11\pi}{6}  

d)

θ=π4,11π6\theta=\frac{\pi}{4},\frac{11\pi}{6}  

76.

Solve equation for 0≤θ<2π0\le\theta<2\pi  .
4cot⁡2θ=−1−2cot⁡θ+3cot⁡2θ4\cot^2\theta=-1-2\cot\theta+3\cot^2\theta  

a)

θ=3π4,7π4\theta=\frac{3\pi}{4},\frac{7\pi}{4}  

b)

θ=7π4\theta=\frac{7\pi}{4}  

c)

θ=3π4\theta=\frac{3\pi}{4}  

d)

θ=π3,π,5π3\theta=\frac{\pi}{3},\pi,\frac{5\pi}{3}  

77.

Find the EXACT value

cos⁡[tan⁡−1(( 3))]\cos\left[\tan^{-1}\left(\sqrt{\left(\ 3\right)}\right)\right]

78.

Find the EXACT value

sec⁡[cos⁡−1(  32)]\sec\left[\cos^{-1}\left(\frac{\ \sqrt{\ 3}}{2}\right)\right]

79.

Find the EXACT value

sec⁡−1[sin⁡(  π3)]\sec^{-1}\left[\sin\left(\ \frac{\ \pi}{3}\right)\right]

80.

Find the EXACT value

cot⁡−1[tan⁡(  π2)]\cot^{-1}\left[\tan\left(\ \frac{\ \pi}{2}\right)\right]

Similar Resources on Wayground

Semester 1 exam review

80 questions

Semester 1 exam review

quiz

Worksheet

•

12th Grade

Chapter 1 Vocabulary - Discovering Geometry

75 questions

Chapter 1 Vocabulary - Discovering Geometry

quiz

Worksheet

•

10th Grade

Right Triangle Trig, Exact Value, Convert Radian and Degree

75 questions

Right Triangle Trig, Exact Value, Convert Radian and Degree

quiz

Worksheet

•

9th - 11th Grade

The Ultimate Midterm Review Game and Some Other Schtuff

76 questions

The Ultimate Midterm Review Game and Some Other Schtuff

quiz

Worksheet

•

8th - 12th Grade

Factoring Practice

82 questions

Factoring Practice

quiz

Worksheet

•

9th - 12th Grade

Test 8 Review: Polynomial Functions (B) (22-23)

77 questions

Test 8 Review: Polynomial Functions (B) (22-23)

quiz

Worksheet

•

9th - 12th Grade

Personal Finance Midterm

81 questions

Personal Finance Midterm

quiz

Worksheet

•

9th - 12th Grade

Final Exam Review Quizziz PHS 2019

80 questions

Final Exam Review Quizziz PHS 2019

quiz

Worksheet

•

9th Grade