Trig 3-2

Trig 3-2

Inverse Trigonometric Functions Continued

Multiple Choice

Quick Check 1
Find the exact value of  $\sin\left(\tan^{-1}\ \frac{1}{2}\right)$ .

•  $\frac{\sqrt{3}}{2}$  

•  $\frac{\sqrt{5}}{5}$  

• 1

• Undefined

Multiple Choice

Quick Check 2
Find the exact value of  $\csc^{-1}(-1)$ . 

•  $-\frac{\pi}{2}$  

•  $\frac{3\pi}{2}$  

•  $-\pi$  

•  $\frac{\pi}{2}$  

Multiple Choice

Quick Check 3
Use a calculator to approximate the value of  $\csc^{-1}(−4)$ . Express your answer in radians rounded to 2 decimal places.

•  $.25$  

•  $1.82$  

•  $-0.26$  

•  $-0.25$  

Multiple Choice

Quick Check 4
Use a calculator to approximate the value of  $\cot^{-1}(-2)$ . Express your answer in radians rounded to 2 decimal places.

•  $2.68$  

•  $-.46$  

• 1.11
  

• .46

Multiple Choice

Quick Check 5

If  $0<x≤1$ , write  $\cos⁡(\sin^{-1}x)$   as an algebraic expression in x.
Hint:  $\cos^2⁡θ+\sin^2⁡θ=1$  

•  $1-x^2$  

•  $-\sqrt{1-x^2}$  

•  $\sqrt{1-x^2}$  

•  $1+x^2$