Question

Sin 2theta = cos 7theta, then tan 3theta=
​

Answer 1

Answer:

1 / √3

Step-by-step explanation:

sin 2θ = cos 7θ

sin 2θ = sin(90° - 7θ)

2θ = 90° - 7θ

2θ + 7θ = 90°

9θ = 90°

θ = 10°

tan 3θ = tan 3(10°) = tan 30°

tan 3θ = 1 /√3