Question

Establish this identity

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the identities

tan x = $\frac{sinx}{cosx}$ , sin²x = 1 - cos²x

sin2x = 2sinxcosx

Consider left side

cosθ × sin2θ

= $\frac{sin0}{cos0}$ × 2sinθcosθ ( cancel cosθ )

= 2sin²θ

= 2(1 - cos²θ)

= 2 - 2cos²θ

= right side , then established