Question

sin(3pie/2+x)= is equal to what ​

Answer 1

Step-by-step explanation:

We may use the following compound angle formula to simplify the left hand side in this case :

sin(A±B)=sinAcosB±cosAsinB.

So in this case, we get :

sin(3π2−x)=sin(3π2)cosx−cos(3π2)sinx

=(−1)cosx−(0)sinx

=−cosx

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