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PIT_PIT [208]
2 years ago
12

Trigonometric equations 5sinx = 3sinx + square root of 2

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
4 0

\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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For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

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Answer:

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