Chapter 4: Trigonometric Functions

Find the exact values of the six trigonometric functions of θ.

• sin θ = 4/5, sec θ = 5/4, cos θ = 3/5, csc θ = 5/3, tan θ = 3/4, cot θ = 3/4

• sin θ = 3/5, sec θ = 5/4, cos θ = 4/5, csc θ = 5/3, tan θ = 3/4, cot θ = 4/3

• sin θ = 3/5, sec θ = 5/3, cos θ = 4/5, csc θ = 5/4, tan θ = 3/4, cot θ = 4/3

• sin θ = 4/5, sec θ = 5/4, cos θ = 3/5, csc θ = 5/3, tan θ = 3/4, cot θ = 4/3

Find the exact values of sin θ, cos θ, and tan θ for a right triangle where the length of the side opposite θ is 20 and the length of the side adjacent to θ is 21.

• sin θ = 20/29, cos θ = 21/29, tan θ = 20/21

• sin θ = 29/20, cos θ = 29/21, tan θ = 21/20

• sin θ = 21/29, cos θ = 20/29, tan θ = 20/21

• sin θ = 20/21, cos θ = 20/29, tan θ = 20/29

Find the value of x.

• 20.9

• 36.6

• 31.8

• 27.6

Change 10.625° to degrees, minutes, and seconds.

• 10° 37' 50''

• 10° 36' 50''

• 10° 37' 30''

• 10° 36' 30''

Choose the angle measure represented by 5.2 rotations counterclockwise.

• 1872°

• -936°

• -1872°

• 936°

Change -120° to radian measure in terms of $\pi$ .

•  $\frac{2\pi}{3}$  

•  $-\frac{2\pi}{3}$  

•  $-\frac{3\pi}{2}$  

•  $\frac{3\pi}{2}$  

Find the measure of the reference angle of -200°.

• 40°

• -200°

• 160°

• 20°

Evaluate $\tan\frac{4\pi}{3}$  .

•  $-\sqrt{3}$  

•  $-\frac{\sqrt{3}}{3}$  

•  $\sqrt{3}$  

•  $\frac{\sqrt{3}}{3}$  

Find the exact value of $\csc\left(-\frac{3\pi}{2}\right)$ , if defined.

• -1

• 0

• 1

• undefined

State the amplitude for the function  $y=-\frac{2}{3}\cos\theta$ .

• -4/3

• 2/3

• -2/3

• 4/3