simplify the expression algebraically and use a graphing utility to confirm your answer graphically.

Question

sin((3π/2)+θ)

Answer 1

Step 1:

The trigonometric expression is .

Sum formula of sine function : .

Then

                               

From cofunction identities : .

                               

                                              ( Since  )

                               

Step 2:

Verification:

Graph :

From the graph :

.

Solution :

.