Week 2 Quiz: Solving Sine and Cosine Equations

Which of the following would have a domain error?

What angle (between $0^o$ and  $180^o$ ) has a sine value of  $0.4$  ? Round your answer to the nearest degree.

(a)  

What angle (between $0^o$ and  $180^o$ ) has a cosine value of  $-0.11$  ? Round your answer to the nearest degree.

(a)  

Solve for $\theta$  using a calculator. 
 $2\sin\theta=1.7$  

Solve for $\theta$  using a calculator. 
 $4\cos\theta+4=1$  

Select 2 possible values for $\theta$  given  $8\sin\theta=-4.$  

Select 2 possible values for $\theta$  given  $\cos\theta=\frac{\sqrt{3}}{2}.$  

Select all possible values for $\theta$  if  $7\sin^2\theta-3=4.$  

Which of the following is NOT a possible value of $\theta$  if  $\cos^2\theta=\frac{1}{4}.$  

If  $\sin^2\theta=\frac{1}{2}$  , how many possible values of  $\theta$  are there between  $0$  and  $2\pi$  ?