Question

prove that

sinA-2sin^2A/2cos^2A-CosA​=tanA

Answer 1

Correct Question

→ (sinA - 2sin³A)/(2cos³A - cosA) = tanA

To Prove

→ (sinA - 2sin³A)/(2cos³A - cosA) = tanA

We know

• 1 - sin²∅ = cos²∅
• 1 - cos²∅ = sin²∅
• sin∅/cos∅ = tan∅

Proof

(Given in attachment)

Concepts

1. Take out common terms sinA and cosA.

2. Use identity to convert them into tanA.

3. Use first and second identity to convert all sinA in terms of cosA.

4. Cancel the same terms and we will obtain tanA both sides.

5. Since Left Hand Side is equal to Right Hand Side hence the proving is done.

Hence Proved