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Need help solving if someone is able to help me please-example-1

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Step-by-step explanation:

The equation is given below as


8\sin\theta-8=4√(3)-8

Step 1:

Collect similar terms, we will have


\begin{gathered} 8\sin(\theta)-8=4√(3)-8 \\ 8\sin\theta=4√(3) \end{gathered}

Step 2:

Divide both sides by 8


\begin{gathered} (8\sin\theta)/(8)=(4√(3))/(8) \\ sin\theta=(√(3))/(2) \\ \theta=\sin^(-1)((√(3))/(2)) \\ \theta=(\pi)/(3),(2\pi)/(3) \end{gathered}

Hence,

The final answer is


\theta=(\pi)/(3),(2\pi)/(3)

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