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35 votes
Help fast pls! tysm, much appreciated

Help fast pls! tysm, much appreciated-example-1
User Akiiino
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1 Answer

12 votes
12 votes

Answer: b. and c.

Explanation:


\displaystyle\\Let\ arcsin(-√(3) )/(2) =x\ \ \ \ -(\pi )/(2) < x < (\pi )/(2)\\So,\\sin(arcsin(-√(3) )/(2) )=sin(x)\\(-√(3) )/(2)=sin(x )\\sin(x)=-(√(3))/(2) \\\\x_1=(4\pi )/(3)+2\pi n\\\\ x_2=(5\pi )/(3) +2\pi n.\\\\ -(\pi )/(2) < x < (\pi )/(2),\\\\Hence,\\\\x_1=(4\pi )/(3) \\\\x_2=(5\pi )/(3) .

User Soryngod
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