Free Printable Complementary Angles and Trig Functions

1.

A pair of angles that add up to 90º

a)

Complementary

b)

Complimentary

c)

Supplementary

2.

Which angle is complementary to $\angle LJM$

a)

$\angle MJN$

b)

$\angle NJP$

c)

$\angle FGE$

d)

$\angle LJK$

3.

Hint: The sin of and angle = The cos of its complement

a)

A

b)

B

c)

C

d)

D

4.

Sin(60°) = Cos( ?°)

a)

10

b)

20

c)

30

d)

40

5.

If cos α = sin β, what must be true about α and β?

a)

α and β are complementary angles

b)

α and β are congruent angles

c)

α and β are right angles

d)

α and β are supplementary angles

6.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

7.

sin(B) = cos(C)

a)

true

b)

false

8.

Select all that apply: What is true in respect to the relationship of the sine and cosine of complementary angles? A and B are the acute angles of the right triangle.

a)

$\sin\left(A\right)=\cos\left(B\right)$

b)

$\sin\ \left(A\right)=\sin\left(B\right)$

c)

$\sin\left(B\right)=\cos\left(B\right)$

d)

$\sin\left(B\right)=\cos\left(A\right)$

e)

$\tan\left(A\right)=\tan\left(B\right)$

9.

If 𝜃 is the number of degrees of one acute angle in a right triangle, and sin(𝜃) = 3/5 , find cos (90 − 𝜃).

a)

3/5

b)

5/3

c)

3/4

d)

4/5

10.

Select all that apply: What is true in respect to the relationship of the sine and cosine of complementary angles? A and B are the acute angles of the right triangle.

a)

$\sin\left(A\right)=\cos\left(B\right)$

b)

$\sin\ \left(A\right)=\sin\left(B\right)$

c)

$\sin\left(B\right)=\cos\left(B\right)$

d)

$\sin\left(B\right)=\cos\left(A\right)$

e)

$\tan\left(A\right)=\tan\left(B\right)$

11.

What is true in respect to the relationship of the sine and cosine of complementary angles? A and B are the acute angles of the right triangle.

a)

$\sin\left(A\right)=\cos\left(B\right)$

b)

$\sin\ \left(A\right)=\sin\left(B\right)$

c)

$\sin\left(B\right)=\cos\left(B\right)$

d)

$\sin\left(B\right)=\cos\left(A\right)$

e)

$\tan\left(A\right)=\tan\left(B\right)$

12.

Select all that apply: What is true in respect to the relationship of the sine and cosine of complementary angles? A and B are the acute angles of the right triangle.

a)

$\sin\left(A\right)=\cos\left(B\right)$

b)

$\sin\ \left(A\right)=\sin\left(B\right)$

c)

$\sin\left(B\right)=\cos\left(B\right)$

d)

$\sin\left(B\right)=\cos\left(A\right)$

e)

$\tan\left(A\right)=\tan\left(B\right)$

13.

a)

Cos (37)

b)

12/15

c)

Sin (37)

d)

15 * Sin(37)

14.

For the triangle OPQ, if sin $\theta$ is 2/3, then the value of tan $\left(90-\theta\right)$ is ...

a)

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

b)

$\frac{1}{3}$

c)

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

Complementary Angles and Trig Functions

Total questions: 14

Worksheet time: 14mins

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