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