Question

tan theta - cot theta = 2 sin2 theta -1/sin theta cos theta​

Answer 1

Answer:

tanθ - cotθ ≠ 2sin²θ - 1/(sinθ * cosθ)

Step-by-step explanation:

LHS = tanθ - cotθ

       = (sinθ/cosθ)-(cosθ/sinθ)

       = (sin²θ - cos²θ)/sinθ * cosθ

RHS = 2sin²θ - 1/(sinθ * cosθ)

LHS ≠ RHS

Hence, tanθ - cotθ ≠ 2sin²θ - 1/(sinθ * cosθ)