Question

Peove that Tan2cos2 = 1 -cos2 (2 is square)

Answer 1

Answer:

R.H.S. = tan²θ × cos²θ

          = sin²θ/cos²θ × cos²θ

          = sin²θ

          = 1 - cos²θ    (∵ sin²θ + cos²θ = 1  ⇒  sin²θ = 1 - cos²θ)

          = L.H.S.

∴ L.H.S. = R.H.S.