Question

If ∠ A= 300

then find the values of

a) sin 2A b) 2 Sin A c) Cos2A d) 2tan 2A.​

Answer 1

Answer:

sin 2θ = 2sinθcosθ

cos 2θ = cos²θ - sin²θ

tan 2θ = 2tanθ/1-tan²θ

You can either substitute θ as ∠A in these or:

2∠A = 600

a) sin 2A = sin 1200 = √3/2

b) 2 sin A = 2 * sin 600 = -√3

c) cos 2A = cos 1200 = -1/2

d) 2 tan 2A = 2 tan 1200 = -2√3