Mathematics: Cos(x+(pi/2))+sin(pi+x) simplified is?

Cos(x+(pi/2))+sin(pi+x) simplified is?

Ответ:

alexmoy45p8yd7v

12.01.2022

To completely show how this can be simplified to -2sin(x), use angle sum formulas for sin/cos.
$cos (a+b) = cos (a) cos (b) - sin (a) sin (b) \\ sin(a+b) = sin (a) cos (b) + sin (b) cos (a)$

Apply to given problem:
$=cos (x) cos (\frac{\pi}{2}) - sin (x) sin (\frac{\pi}{2}) +sin (x) cos (\pi) + sin (\pi) cos (x) \\= 0-sin(x) -sin(x)+0 \\ = -2 sin (x)$

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Ответ:

hardyfombu

02.07.2021

Mathematics

I also need that question!!

Step-by-step explanation:

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Cos(x+(pi/2))+sin(pi+x)
simplified is?

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