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show that (sinx)/(cos3x)+(sin3x)/(cos9x)...

show that `(sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27x)=1/2(tan27x-tanx)`

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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
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  2. prove that (sinA+sin3A+sin5A+sin7A)/(cosA+cos3A+cos5A+cos7A)=tan4A

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  3. show that (sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27x)=1/2(tan27x-t...

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  4. If in a triangle ABC cot(A/2)+cot(C/2)=2cot(B/2) then find the minimum...

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  5. If in triangle ABC cosA+cosB+cosC=3/2 then prove that triangle is equi...

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  7. If tanalpha=1/7 ,sinbeta=1/sqrt10 prove that alpha+2beta=(pi/4) where ...

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  9. (sin(-660^@)tan(1050^@).sec(420^@))/(cos(225^@)cosec(315^@)cos(510^@))...

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  19. If tan beta=(nsin alphacosbeta)/(1-ncos^2alpha) then tan(alpha+beta) i...

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