Applying and analysing trigonometric functions

Select all possible answers to the equation  $4\sin^2u+8=11$  

•  $\frac{\pi}{3}$  

•  $2\pi$  

•  $\frac{\pi}{6}$  

•  $\frac{2\pi}{3}$  

•  $\frac{4\pi}{3}$  

Solve the equation  $2\operatorname{cosec}^2\theta=9\cot\theta-7$ for  $0\le\theta\le360$  

• 18.43, 33.69, 198.43

• 33.69, 213.69, 18.43, 198.43

• 18.43, 33.69

• 16.43, 30.69, 198.43, 213.69

Select all the angle measures for which  $\cos\theta=\frac{1}{2}$  

•  $-120\degree$  

•  $-60\degree$  

•  $120\degree$  

•  $600\degree$  

•  $660\degree$  

Answer explanation

There are multiple answers but -pi/6 is one of them

What is a possible x value of y = cot(x) when y = 0?

• - $\frac{\pi}{2}$

• 0

• $\pi$

• $\frac{\pi}{4}$

Solve

cos²θ = ½

on θ∈[0, 2π)

• θ = π /4, 7π /4

• θ = π /4, 3π /4

• θ = 3π /4, 5π /4

• θ = π/4, 3π/4, 5π/4, 7π/4

What is the value of cos⁻¹[cos(2π/5)]?

• 2π/5

• π/5

• 3π/5

• 4π/5

Find arccos 0 

• 0°

• 30°

• 60°

• 90°

• 45°

2cosx-1=0

• 60,120

• 60, 240

• 120, 240

• 60, 300

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

•  $\frac{\pi}{6}$  

•  $-\frac{\pi}{4}$  
  

•  $\frac{\pi}{4}$  
  

•  $-\frac{\pi}{6}$