4.05 Unit Test: Trigonometric Functions and Identities

1) Given cos θ=3√4 and sinθ<0 .

What is the value of sinθ ?

2) Given sin(−θ)=−16 and tanθ=−35√35 .

What is the value of cosθ ?

3) The angle θ lies in Quadrant III . cosθ=−16

What is tanθ ?

4)What is the value of sinθ given that (5, −12) is a point on the terminal side of θ ?

5)What is the value of cosθ given that (−5, −4) is a point on the terminal side of θ ?

6)The terminal side of θ passes through the point (−9,10).

What is the exact value of sinθ in simplified form?

7)A roofer is standing on the roof of a house 60 ft above the ground. His truck is parked 25 ft from the house.

What is the angle of depression from the roofer to his truck?

Round to the nearest whole degree.

8)What is the value of arcsin(3√2) ?

9)An incline bench, as shown in the figure, is used at a gym for doing sit-ups. What is θ?

Round your answer to the nearest degree.