if sina, cosa, tana are in geometric progression then prove that cot^6a-cot^2a=1

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1. if sina,cosa,tana are in geometric progression then prove that cot^6a-cot^2a=1
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2. Hi, can someone give me the answer to this question:secA-tanA=1/4. Find cosA I got: CosA=4(1-sinA) Is my answer good? Now
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3. prove thatsinA-cosA+1/sinA+cosA-1=1/secA-tanA
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4. Verify/prove that:sinAcosA/1-cosA = sin^2/tanA-sinA
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