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Prove that tan alpha + 2tan 2alpha + 4t...

Prove that `tan alpha + 2tan 2alpha + 4tan 4alpha + 8cot 8alpha = cot alpha`.

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Prove that: tan alpha+2tan2 alpha+4tan4 alpha+8cot8 alpha=cot alpha

Prove that cotA-tanA=2cot2A and deduce that tan alpha+2tan2alpha+4tan4alpha+8cot8alpha=cot alpha

prove that :tan(alpha)+2tan(2 alpha)+4(tan4 alpha)+8cot(8 alpha)=cot(alpha)

tan alpha+2tan2 alpha+4tan4 alpha+8cot8 alpha=cot alpha

tan alpha+2tan2alpha+4tan4alpha+8cot8alpha is equal to

If alpha = (2pi)/7 prove that tan alpha *tan 2alpha + tan 2alpha* tan 4alpha + tan 4alpha* tan a = - 7

tan alpha+2tan2 alpha+4tan4 alpha+8cot8 alpha is equal to :

tanalpha+2tan2alpha+4tan4alpha+8cot8alpha=?

Statement I tan alpha+2tan 2 alpha+4 tan 4 alpha + 8 tan 8 alpha+16 cot 16 alpha=cot alpha Statement II cot alpha- tan alpha=2 cot 2 alpha

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. Prove that for real x, (tan(x+alpha))/(tan(x-alpha)) where alpha ne pi...

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  2. Show that (sec^(2)theta - tan theta)/(sec^(2)+ tan theta) lies betwe...

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  3. Prove that tan alpha + 2tan 2alpha + 4tan 4alpha + 8cot 8alpha = cot ...

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  4. Find the sum: tan x + 1/2 tan x/2+ 1/2^(2) tan x/2^(2) +.....+1/2^(n-...

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  5. Prove that cosec 2alpha = cot alpha - cot 2alpha. Hence or otherwise ...

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  6. Prove that sum(r=1)^(10) = sin^(2) rpi/18 =5.

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  7. Sum the series: sin alpha - sin 2alpha + sin 3alpha - sin 4alpha + .....

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  8. Find sum(r=1)^(10) cos^(3) rpi/3.

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  9. Sum: sqrt(1 + sin 2alpha) + sqrt(1 + sin 4alpha) + sqrt(1 + sin 6alpha...

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  10. Prove that sin^(2) 12^circ + sin^(2)21^circ + sin^(2)39^circ + sin^(2)...

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  11. If A + B + C = pi, prove that cos A cosec B cosec C + cos B cosec C c...

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  12. Prove that in a triangle ABC, sin^(2)A - sin^(2)B + sin^(2)C = 2sin A...

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  13. Prove that in a triangle ABC, sum (cot B+ cotC)/(tan B + tan C) =1.

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  14. If A +B+C = 180^circ, prove that cos A/2+ cos B/2 +cos C/2 = 4cos (p...

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  15. If alpha + beta- gamma= pi, prove that sin^(2)alpha + sin^(2)beta - s...

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  16. If alpha + beta + gamma = 2 theta, prove that cos theta + cos(theta- ...

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  17. If A + B + C = pi, show that cot A + sinA/(sin B sin C) = cot B + sin...

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  18. If A + B + C = 0, prove that sum sin 2A = 2sum sin A * (1 + sum cos A...

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  19. Prove that tan(x - y) + tan(y - z) + tan(z - x) = tan(x - y) *tan(y -...

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  20. If alpha + beta + gamma + delta = 2pi then prove that sum tan alpha =...

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