find the exact values of sin 2u, cos 2u,and tan 2u using the double-angle formulas.

Question

sin u = -(3/5)   3π/2 < u < 2π

Answer 1

Step 1 :

The trigonometric function .

Double-angle formulas : ,

                                   , and

                                   .

Solve by using Pythagorean identity.

Pythagorean identity: .

.           (Since the function is positive in fourth quadrant)

The trigonometric function .

Step 2 :

The exact value of .

The exact value of .

Step 3 :

The exact value of .

The exact values of , and .

Solution :

The exact values of , and .