Free Printable Trigonometry etc

1.

Which ratio represents the cos(θ)?

a)

x/y

b)

x/z

c)

y/x

d)

y/z

2.

Find tan(θ).

a)

tan(θ) = 5/13

b)

tan(θ) = 12/13

c)

tan(θ) = 12/5

d)

tan(θ) = 5/12

3.

Find the value of x.

a)

16.0

b)

20.5

c)

20.3

d)

42.2

4.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

5.

Given the right Triangle i the diagram below, what is the appropriate trigonometric ratio needed to solve for x.

a)

Sine

b)

Cosine

c)

Tangent

d)

Pythagorean Theorem

6.

Triangles are so important to studying geometry because:

a)

they have 3 sides

b)

all polygons can be divided into triangles

c)

they have sides and angles

d)

at least theyTri

7.

Read carefully! In order to find the hypotenuse in the right triangle we would use:

a)

sin x = 4/6

b)

a²+4²=6²

c)

tan x = 4/6

d)

4²+6²=c²

8.

To find x we could use:

a)

6²+3²=x²

b)

sin x = 3/6

c)

cos x = 3/6

d)

3²+6²=x²

9.

Give the Ratio for TAN X

a)

Adj/Opp

b)

Opp/Adj

c)

Adj/Hyp

d)

Opp/Hyp

10.

Give the Ratio for COS X

a)

Adj/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Opp/Hyp

11.

Give the Ratio for SIN X

a)

opp/adj

b)

Adj/hyp

c)

Opp/hyp

d)

adj/opp

12.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

13.

What is the correct equation to solve for x ?

a)

tan (58) = x/11

b)

tan (58) = 11/x

c)

cos (58) = x/11

d)

sin (58) = x/11

14.

What is the correct equation to solve for x ?

a)

tan( 46 ) = 17/x

b)

sin ( 46 ) = x/17

c)

tan (46 ) = x/17

d)

cos (46) = x/17

15.

What is the correct ratio?

a)

6/10

b)

6/8

c)

8/10

d)

8/6

16.

What is the correct ratio?

a)

7/24

b)

24/7

c)

7/25

d)

24/25

17.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

18.

Which equation would you use to find the missing angle"?" ?

a)

sin ?º = ²³/₂₈

b)

cos ?º = ²³/₂₈

c)

sin ?º = ²⁸/₂₃

d)

cos ?º = ²⁸/₂₃

19.

When labeling this triangle, which length is opposite of the reference angle?

a)

x

b)

22

c)

43

d)

90

20.

what is the ratio for secant?

a)

sec=adj/opp

b)

sec=hyp/opp

c)

sec=opp/hyp

d)

sec=hyp/adj

21.

what is the ratio for cotangent?

a)

cot=adj/opp

b)

cot=hyp/opp

c)

cot=opp/hyp

d)

cot=hyp/adj

22.

Identify the trig ratio that may be used to find the marked unknown side.

a)

$Sin\ 38\degree=\frac{w}{15}$

b)

$Cos\ 38\degree\ =\ \frac{15}{w}$

c)

$Tan\ 38\degree\ =\ \frac{w}{15}$

d)

$Sin\ 38\degree=\ \frac{15}{w}$

23.

The reciprocal of the sine is the ...

a)

Secant

b)

Cosecant

c)

Cotangent

d)

Arcsine

e)

Inverse Sine

24.

The reciprocal of the cosine is the ...

a)

Secant

b)

Cotangent

c)

AntiLog

d)

Cosecant

25.

The reciprocal of the tangent is the ...

a)

Secant

b)

Cotangent

c)

Radian

d)

Cosecant

26.

What is 45 degrees in radians?

a)

π/2

b)

π/6

c)

π/4

d)

3π/4

27.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

28.

How many radians are there in half a circle?

a)

2 pi

b)

180^o

c)

360^o

d)

pi

29.

What is a radian?

a)

a central angle created when the radius equals the arc length

b)

a central angle created when the radius is twice as big as the arc length

c)

a central angle created when the radius is half as big as the arc length

d)

A central angle created when one radius equals the other radius

30.

The radius of the unit circle is

a)

0

b)

1

c)

$\pi$

d)

-1

31.

$\pi$ radians = ____ degrees

a)

1

b)

0

c)

180

d)

360

32.

$\sin\ 0\degree\ =$

a)

1

b)

0

c)

-1

d)

$\pi$

33.

$\cos0\degree\ =$

a)

0

b)

1

c)

-1

d)

$\pi$

34.

$\sin\ \frac{\pi}{2}\ =\$

a)

0

b)

1

c)

-1

d)

$\pi$

35.

$\sin\ \pi\ =$

a)

1

b)

0

c)

-1

d)

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

36.

$\cos\ \pi\ =$

a)

-1

b)

0

c)

1

d)

$\pi$

37.

About how many degrees is 1 radian?

a)

3.14159

b)

$90\degree\$

c)

$57\degree\$

d)

$2\pi$

38.

What are inverse trig ratios functions used for?

a)

Inverting the trig to find the reciprocal

b)

functioning in an inverted world

c)

determining the angle given a ratio of sides

d)

determining the side given an angle

39.

Which function would calculate angle Theta $\theta$ ?

a)

$\theta\ =\sin^{-1}\ \left(\frac{x}{y}\right)$

b)

$\theta\ =\sin^{-1}\ \left(\frac{y}{x}\right)$

c)

$\theta\ =\sin^{-1}\ \left(\frac{y}{z}\right)$

d)

$\theta\ =\sin^{-1}\ \left(\frac{x}{z}\right)$

40.

Which function would calculate angle Theta $\theta$ ?

a)

$\theta\ =\tan^{-1}\ \left(\frac{x}{y}\right)$

b)

$\theta\ =\tan^{-1}\ \left(\frac{y}{x}\right)$

c)

$\theta\ =\tan^{-1}\ \left(\frac{y}{z}\right)$

d)

$\theta\ =\tan^{-1}\ \left(\frac{x}{z}\right)$

41.

What is NOT TRUE regarding the unit circle?

a)

the x value is the cosine of the angle

b)

the y value is the sine of the angle

c)

the radius is 1

d)

the radian is the tangent of the angle

42.

Find cotan(θ).

a)

cotan(θ) = 5/13

b)

cotan(θ) = 12/13

c)

cotan(θ) = 13/5

d)

cotan(θ) = 5/12

43.

Which description does not match this image?

a)

it is a sine wave

b)

The period is 2pi

c)

the amplitude is 1

d)

the wavelength is 4pi

44.

Given Degrees, what would you multiply to convert to Radians?

a)

$\frac{\pi}{180}$

b)

$\frac{2\pi}{180}$

c)

$\frac{180}{\pi}$

d)

$\frac{360}{\pi}$

45.

Given Radians, what would you multiply to convert to Degrees?

a)

$\frac{\pi}{180}$

b)

$\frac{2\pi}{180}$

c)

$\frac{180}{\pi}$

d)

$\frac{360}{\pi}$

46.

What is x if the sin (x) = .7071

a)

$45\degree$

b)

$90\degree$

c)

$180\degree$

d)

0.0123

47.

What is x if the cos (x) = $\frac{1}{2}$

a)

$30\degree$

b)

$90\degree$

c)

$60\degree$

d)

0.999

48.

da heck is this?

a)

Law of Sines

b)

Law of Cosines

c)

da kine

d)

a right triangle

49.

da heck is this?

a)

Law of Sines

b)

Law of Cosines

c)

da kine

d)

a right triangle

50.

Which of the following statements below is NOT TRUE?

a)

Trig ratios are used for right triangles only

b)

The law of sines is used for triangles that are not right

c)

The law of cosines is used for triangles that are not right

d)

The Pythagorean theorem works for all triangles

Trigonometry etc

Total questions: 50

Worksheet time: 2hrs 23mins

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