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Question

Find the principal solutions of the equation sinx=32.

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Solution

Given: sinx=32

We know: sinπ3=32
Here sinx is positive.
sinx is positive in 1st and 2nd quadrant.

Value in 1st quadrant =π3
Value in 2nd quarant =ππ3=2π3
Principle solutions are x=π3 and 2π3

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