Question

Trigonometric equations

5sinx = 3sinx + square root of 2

Answer 1

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

Let's solve for x ~

$\qquad \sf  \dashrightarrow \:5 \sin(x) = 3 \sin(x) + \sqrt{2}$

$\qquad \sf  \dashrightarrow \:5 \sin(x) - 3 \sin(x) = \sqrt{2}$

$\qquad \sf  \dashrightarrow \:2 \sin(x) = \sqrt{2}$

$\qquad \sf  \dashrightarrow \: \sin(x) = \sqrt{2} \div 2$

$\qquad \sf  \dashrightarrow \: \sin(x) = \frac{1}{ \sqrt{2} }$

$\qquad \sf  \dashrightarrow \:x = 45 \degree \: \: or \: \: \frac{\pi}{4} \: rad$

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