Quiz 7.5 & 7.6 Inverse Trig Functions & Equations

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

• π/3

• π/6

• 5π/6

• -π/6

Solve the equation for $0\degree\le\theta\le360\degree$  
 $-2=-2\tan\theta$  

• {0,180}

• {45,225}

• {45}

• {0,45}

Solve the equation for $0\degree\le\theta\le360\degree$  
 $-4\cos\theta=2\sqrt{2}$  

• {120,240}

• {120,135,240}

• {225}

• {135,225}

Solve the equation for $0\le\theta\le2\pi$  
 $0=-2\sin\theta$  

•  $\left\{0,\pi\right\}$  

•  $\left\{\frac{7\pi}{6}\right\}$  

• No solution

•  $\left\{0,\frac{7\pi}{6},\frac{11\pi}{6}\right\}$  

Solve the equation for $0\le\theta\le2\pi$  
 $1+\sin\theta=\frac{2-\sqrt{2}}{2}$  

•  $\left\{\frac{5\pi}{4},\frac{7\pi}{4}\right\}$  

•  $\left\{\frac{7\pi}{4}\right\}$  

•  $\left\{\frac{\pi}{3},\frac{\pi}{2},\frac{5\pi}{4},\frac{7\pi}{4}\right\}$  

•  $\left\{\frac{\pi}{2},\frac{5\pi}{4},\frac{7\pi}{4}\right\}$  

Solve the equation for $0\le\theta\le2\pi$  
 $-\frac{3}{2}\sec\theta=\sqrt{3}$  

•  $\left\{\frac{5\pi}{6},\frac{7\pi}{6}\right\}$  

• No solution

•  $\left\{\frac{\pi}{6},\frac{11\pi}{6}\right\}$  

•  $\left\{\frac{\pi}{6},\frac{5\pi}{6},\frac{11\pi}{6}\right\}$