# EVALUATING TRIGONOMETRIC EXPRESSIONS WORKSHEET

Without using a calculator, evaluate:

Problem 1 :

sin² 60˚

Solution

Problem 2 :

sin 30˚ cos 60˚

Solution

Problem 3 :

4sin 60˚ cos 30˚

Solution

Problem 4 :

1 - cos² (π/6)

Solution

Problem 5 :

sin² (2π/3) - 1

Solution

Problem 6 :

cos² (π/4) - sin (7π/6)

Solution

Problem 7 :

sin (3π/4) - cos (5π/4)

Solution

Problem 8 :

1 - 2 sin² (7π/6)

Solution

Problem 9 :

cos² (5π/6) - sin² (5π/6)

Solution

Problem 10 :

tan² (π/3) - 2sin² (π/4)

Solution

Problem 11 :

2 tan (-5π/4) - sin (3π/2)

Solution

Problem 12 :

2tan 150˚ / (1 - tan² 150˚)

Solution

1)  sin² 60˚ = 3/4

2)  sin 30˚ cos 60˚ = 1/4

3)  4sin 60˚ cos 30˚ = 3

4) 1 - cos² (π/6) = 1/4

5)  sin² (2π/3) - 1 = -1/4

6)  cos² (π/4) - sin (7π/6) = 1

7)  sin (3π/4) - cos (5π/4) = √2

8)  1 - 2 sin² (7π/6) = 1/2

9)  cos² (5π/6) - sin² (5π/6) = 1/2

10)  tan² (π/3) - 2sin² (π/4) = 2

11)  2tan (-5π/4) - sin (3π/2) = -1

12)  2tan 150˚ / 1 - tan² 150˚ = -√3

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