﻿ If sin A, cos A and tan A are in geometric progression, then cot6 A – cot2 A is equal to   : Kaysons Education

# If Sin A, Cos A and Tan A are In Geometric Progression, Then Cot6 A – Cot2 A is Equal To

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## Question

### Solution

Correct option is

1

Since sin A, cos A and tan A are in G.P., we have

cos2 A = sin A tan A ⇒ cos3 A = sin2 A

⇒ cot2 A = sec A

⇒ cot4 A = 1 + tan2 ⇒ cot6 A – cot2 A = 1

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