Question

How do you simplify `cos(x+(3pi)/2)`?

Answer 1

`cos(x+(3pi)/2) = sinx`

Explanation:

Using the expression for the cosine of a sum of angles:

`cos (alpha + beta) = cos alpha cos beta - sin alpha sin beta`

we have:

`cos(x+(3pi)/2) = cos ((3pi)/2)cosx - sin((3pi)/2)sinx = sinx`