KohnerZ444807 KohnerZ444807
  • 25-10-2022
  • Mathematics
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Simplify the trigonometric expression. cos(theta+pi/2)

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MaiseeS505276 MaiseeS505276
  • 25-10-2022

We have to simplify the expression:

[tex]\cos (\theta+\frac{\pi}{2})[/tex]

We could see it graphically:

We see that for any angle theta, the cosine of theta + pi/2 is equal to negative sin of theta.

Then we can write:

[tex]\cos (\theta+\frac{\pi}{2})=-\sin (\theta)[/tex]

The answer is -sin(theta).

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