Trigonometric Equations

 $Solve\ \ 2\sin\ x=0\ \ for\ \ 0\ <\ x\ <\ 2\pi.$  

•  $0,\ \pi\ or\ 2\pi$  

•  $\frac{\pi}{2}$  

•  $\pi$  

•  $2\pi$  

Which of the following is/are the solution(s) for the equation?

 $Solve\ \cos^2\theta=\frac{1}{2}\ for\ 0^o\le\theta\le360^o.$  

Note: You may select more than one answer.

•  $45^o$  

•  $135^o$  

•  $225^o$  

•  $315\degree$  

• None of the above

 $Solve\ \ \ 2\cos^2x+3\sin x=0\$  for  $0\le x\le2\pi$  .

Which of the quadrant(s) can x be found? You may select more than one answer.

• First

• Second

• Third

• Fourth

With reference to Qn 3, what is/are the solution(s) for

 $0\le x\le2\pi$  ? You may select more than one option.

•  $\frac{\pi}{6}$  

•  $\frac{5\pi}{6}$  

•  $\frac{7\pi}{6}$  

•  $\frac{11\pi}{6}$  

 $Solve\ \ \ 4\sin x=-7\cos x\ \ \ for\ \ 0\le x\le\pi\ \ \$  giving your answer(s) to 3 sig fig.

Note: If there are two answers, you will type the word "or" e.g.  0.2 or 1.35.

I am ______________ in solving Trigonometric equations.

• very confident

• confident

• somewhat confident

• not confident

• very unsure

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