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3 votes
Solve the equation for 0

Solve the equation for 0-example-1
User Bart Weber
by
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1 Answer

3 votes

The answerGiven the equation


-2+\sin \theta=\frac{-4+\sqrt[]{2}}{2}

Step 1: Collect like terms


\sin \theta=\frac{-4+\sqrt[]{2}}{2}+2
\sin \theta=\frac{-4+\sqrt[]{2\text{ }}+4}{2}
\sin \theta=\frac{\sqrt[]{2}}{2}

Step 2: Find the value of the angle


\theta=\sin ^(-1)(\frac{\sqrt[]{2}}{2})


\begin{gathered} \text{for the range of }\theta\text{ given } \\ 0\leqslant\theta\leqslant2\pi \end{gathered}
\theta=45^0,135^0

Then is expressing in radians


\begin{gathered} 45^0=(\pi)/(4) \\ 135^0=(3\pi)/(4) \end{gathered}

Answer is option B

User Keeganwatkins
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