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Worksheets

Exploring Sine and Cosine

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

What is the sine of 30 degrees?

a)

0.75

b)

0.25

c)

1.0

d)

0.5

2.

What is the cosine of 60 degrees?

a)

0

b)

-0.5

c)

1

d)

0.5

3.

If sin(θ) = 0.5, what is θ in degrees?

a)

30°, 150°

b)

120°

c)

90°

d)

60°

4.

What is the relationship between sine and cosine for complementary angles?

a)

sin(θ) = sin(90° - θ) for complementary angles.

b)

sin(θ) = cos(90° - θ) for complementary angles.

c)

cos(θ) = sin(90° + θ) for complementary angles.

d)

sin(θ) = cos(θ) for all angles.

5.

Calculate sin(45 degrees).

a)

0.5

b)

1.0

c)

0.866

d)

0.7071

6.

What is the value of cos(0 degrees)?

a)

0.5

b)

1

c)

-1

d)

0

7.

If cos(θ) = 0, what are the possible values of θ?

a)

θ = 0 + kπ, where k is any integer.

b)

θ = π/2 + kπ, where k is any integer.

c)

θ = π/4 + kπ, where k is any integer.

d)

θ = 3π/2 + kπ, where k is any integer.

8.

What is the sine of 90 degrees?

a)

0

b)

1.5

c)

1

d)

-1

9.

How does the sine function behave in the first quadrant?

a)

The sine function is negative in the first quadrant.

b)

The sine function is positive and increases from 0 to 1 in the first quadrant.

c)

The sine function decreases from 1 to 0 in the first quadrant.

d)

The sine function is constant at 0.5 in the first quadrant.

10.

What is the cosine of 90 degrees?

a)

1

b)

0.5

c)

0

d)

-1