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Vedmedyk [2.9K]
2 years ago
5

And right triangle sin (40 - x)° equals cos(3x)° degrees what is the value of x.

Mathematics
1 answer:
Drupady [299]2 years ago
3 0

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

Let's solve ~

\qquad \sf  \dashrightarrow \: \sin(40 - x)  =  \cos(3x)

\qquad \sf  \dashrightarrow \:  \cos\{90   -   (40 - x ) \}  =  \cos(3x)

\qquad \sf  \dashrightarrow \:90 - (40 - x) = 3x

\qquad \sf  \dashrightarrow \:90 - 40 + x = 3x

\qquad \sf  \dashrightarrow \:3x - x = 50

\qquad \sf  \dashrightarrow \:2x = 50

\qquad \sf  \dashrightarrow \:x = 25 \degree

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