If sin A , cos A , tan A are in Geometric Progression . then \(cot^{6} A - cot^{2} \)

the answer is 1

I wanted to know how? please Explain!

If sin A , cos A , tan A are in Geometric Progression . then \(cot^{6} A - cot^{2} \)

the answer is 1

I wanted to know how? please Explain!

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TopNewest\(cos^{2}A=\frac{sin^{2}A}{cosA},\Rightarrow cot^{2}A=\frac{1}{cosA}.\)As in question \(cot^{6}A-cot^{2}A = \frac{1-cos^{2}A}{cos^{3}A} = \frac{sin^{2}A}{cos^{3}A} = 1.\) – Kishan K · 4 years, 1 month ago

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– Anubhav Singh · 4 years, 1 month ago

rightLog in to reply

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– Krishna Jha · 4 years, 1 month ago

Bt this is no harmonic progression man..Log in to reply

– Devashish Sharma · 4 years, 1 month ago

but it is not in hp it is in gp frndLog in to reply

dear vamsi ,plz match the question and then post – Shubham Gupta · 4 years, 1 month ago

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cos^2x=sin^2x!!!! Hence, cot^6x=cosec^2x!!! Therefore, by identity cosec^2x-cot^2x=1!!!! – Subhrodipto Basu Choudhury · 4 years, 1 month ago

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– Akshat Jain · 4 years, 1 month ago

Calm down, that was understood without those exclamations also!Log in to reply

– Devashish Sharma · 4 years, 1 month ago

what is this ^ ?Log in to reply

– Cody Martin · 4 years, 1 month ago

^ means a number raised to some power like 2^2 means \[\ 2^2\]Log in to reply