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labwork [276]
3 years ago
15

If sin(3x)= cos(x+6), what is value of x

Mathematics
2 answers:
cluponka [151]3 years ago
7 0

\huge \boxed{Answer   : -  }

  • \sin(3x)  =  \cos(x + 6)

  • \cos(90 - 3x)  =  \cos(x + 6)

[ Due to complementary relation between sin and cos. ]

  • 90  - 3x = x + 6

  • x + 3x = 90 - 6

  • 4x = 84

  • x = 21

The value of x = 21

\\  \\  \\  \\

\#TeeNForeveR

taurus [48]3 years ago
6 0

I dont think that this question is possible.

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Let x as the missing segment.

_________________________________

According to the Thales theorem :

\frac{26}{x}  =  \frac{12}{36}  \\

\frac{26}{x}  =  \frac{12}{12 \times 3}  \\

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Inverse both sides

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\frac{x}{26}  = 3 \\

Multiply sides by 26

26 \times  \frac{x}{26}  = 26 \times 3 \\

x = 26 \times 3

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Thus the missing segment has a measure of 78 .

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