FIND THE VALUES OF TRIGNOMETRIC FUNCTIONS USING UNIT CIRCLE WORKSHEET

Solve the following problems using unit circle.

Problem 1 :

cos (π/4)

Problem 2 :

cos 135

Problem 3 :

sin 5π/6

Problem 4 :

sin (-π/3)

Problem 5 :

tan 135

Problem 6 :

cos (-120)

Problem 7 :

tan (3π/2)

Problem 8 :

sin (-π/4)

Answer Key

1)  cos (π/4) = √2/2

2)  cos 135 = -√2/2

3)  sin (5π/6) = 1/2

4)  sin (-π/3) = -√3/2

5)  tan 135 = -1

6)  cos (-120) = -1/2

7) sin (-π/4) = undefined

8)  sin (-π/4) = -1/√2

Problem 1 :

Find the exact value of cos (7π/4)

Solution

Problem 2 :

Find the exact value of sin (-30°)

Solution

Problem 3 :

Find the exact value of cos (600°)

Solution

Problem 4 :

Find the exact value of sin (9π/2)

Solution

Problem 5 :

Find the exact value of tan (585°)

Solution

Problem 6 :

Find the exact value of cos (23π/6)

Solution

Problem 7 :

Find the exact value of cos (-11π/4)

Solution

Problem 8 :

Find the exact value of sin (-13π/4)

Solution

Answer Key

1)  cos (7π/4) = 1/√2

2)  -sin 30° = -1/2

3)  cos 600° = -1/2

4)  cos 810° = 0

5)  tan 585° = 1

6) cos (23π/6) =  √3/2

7)  cos (-11π/4) =  -1/√2

8)  sin (-13π/4) = 1/√2

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