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17 votes
Trigonometric equations

5sinx = 3sinx + square root of 2

User Tavnab
by
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1 Answer

8 votes


\qquad\qquad\huge\underline{{\sf Answer}}♪

Let's solve for x ~


\qquad \sf  \dashrightarrow \:5 \sin(x) = 3 \sin(x) + √(2)


\qquad \sf  \dashrightarrow \:5 \sin(x) - 3 \sin(x) = √(2)


\qquad \sf  \dashrightarrow \:2 \sin(x) = √(2)


\qquad \sf  \dashrightarrow \: \sin(x) = √(2) / 2


\qquad \sf  \dashrightarrow \: \sin(x) = (1)/( √(2) )


\qquad \sf  \dashrightarrow \:x = 45 \degree \: \: or \: \: (\pi)/(4) \: rad

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User FarmerGedden
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