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Worksheets

Sine and Cosine Complementary Angles

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

What is the missing number?
sin(60) = cos(   )

a)

10

b)

20

c)

30

d)

40

2.

What is the missing number?
Sin(   ) = Cos(40)

a)

30

b)

40

c)

50

d)

60

3.

What is the missing number?
Sin(45) = Cos(   )

a)

45

b)

95

c)

145

d)

195

4.

What is the missing number?
Sin(   ) = Cos(80)

a)

5

b)

10

c)

15

d)

20

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

6.

If sin x = cos y, what must be true about x and y?

a)

x + y = 90⁰

b)

x = y 

c)

x = 2y

7.

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

b)

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

c)

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

d)

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

e)

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

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

b)

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

c)

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

d)

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

e)

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

9.

cos 40⁰ = ?

a)

sin 50⁰

b)

cos 50⁰

c)

tan 50⁰

10.

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

11.

What is the missing number?
Sin(1) = Cos(   )

a)

89

b)

19

c)

45

d)

0

12.

cos 60⁰ = sin θ. What is θ ?

a)

30⁰

b)

60⁰

c)

45⁰

13.

cos 38⁰ = sin θ. What is θ ?

a)

62⁰

b)

52⁰

c)

38⁰

14.

Sin(60°) = Cos( ?°)

a)

10

b)

20

c)

30

d)

40

15.

sin 20⁰ = ?

a)

cos 70⁰

b)

sin 70⁰

c)

cos 20⁰

16.

If sin x = cos x, what is the value of x?

a)

45⁰

b)

90⁰

c)

30⁰

17.

What is the missing number?
Sin(70) = Cos (   )

a)

20

b)

25

c)

30

d)

35

18.

What is the missing number?
Sin(    ) = Cos (89)

a)

0

b)

1

c)

2

d)

3

19.

What is the missing number?
Sin(   ) = Cos(60)

a)

20

b)

25

c)

30

d)

35

20.

What is the missing number?
Sin(90) = Cos(   )

a)

0

b)

10

c)

20

d)

30