Question

prove that sec power 6 theta is equal to tan power 6theta + 3 tan square theta secant squared theta + 1​

Answer 1

Answer:

Fristly , This is Question From Trigonometry .

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Answer 2

Answer

LHS = sec^6θ

= (1+tan^2θ)^3

= 1+tan^6θ+3tan^4θ+3tan^2θ

= 1+tan^6θ+3tan^2θ(1+tan^2θ)

= 1+tan^6θ+3tan^2θsec^2θ

= RHS

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