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Prove that 4 sin 27^@ = sqrt(5+sqrt5)+sq...

Prove that `4 sin 27^@ = sqrt(5+sqrt5)+sqrt(3-sqrt5)`.

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove that 4 cos 36^@ +cot 7 1^@/2 = sqrt1+sqrt2 +sqrt3+ sqrt4+ sqrt5+...

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  2. Prove that tan 82 (1(0))/(2)=(sqrt(3)+sqrt(2))(sqrt(2)+1) or cot 7 (...

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  3. Prove that 4 sin 27^@ = sqrt(5+sqrt5)+sqrt(3-sqrt5).

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  4. If tan beta= (Q sin alpha)/(P+Q cos alpha), prove that : tan (alpha-b...

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  5. Prove that cot theta cot 2 theta+ cot 2 theta cot 3 theta+ 2= cot thet...

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  6. Prove that: (cos 2A cos 3A-cos 2A cos 7A + cos A cos 10A)/(sin 4A sin ...

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  7. If (sin (theta+alpha))/(cos (theta-alpha))= (1-m)/(1+m), prove that : ...

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  8. If theta(1),theta(2),theta(3),".......",theta(n) are in AP whose commo...

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  9. If A + B + C =pi, prove that : cos 4A + cos 4B + cos 4C =-1+4 cos 2A c...

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  10. In any triangle ABC, prove that : sin frac (A)(2) +sin frac (B)(2)+s...

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  11. In any triangle ABC, prove that : cos frac (A)(2) +cos frac (B)(2)+c...

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  12. If A + B + C =180^@, prove that : sin (B+C-A) + sin(C+ A-B)+ sin(A +B-...

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  13. If A + B + C =180^@, prove that : cos (-A+B +C)+cos(A-B+C)+ cos (A +B-...

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  14. If A + B + C =180^@, prove that : sin (B+C-A) + sin(C+ A-B)+ sin(A +B-...

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  15. If in triangle ABC, cot A + cot B + cot C = sqrt3, prove that the tria...

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  16. If A+B +C +D= 2 pi, prove that : cos A + cos B + cos C + cos D =-4 cos...

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  17. If A+B +C =2S, prove that : sin (S - A) + sin (S- B) + sin (S-C)-sinS=...

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  18. If A+B +C =2S, prove that : cos^2 S + cos^2 (S- A) + cos^2 (S-B)+ cos^...

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  19. If x +y+ z=xyz, prove that : (2x)/(1-x^2)+(2y)/(1-y^2)+(2z)/(1-z^2)= ...

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  20. If x +y+ z=xyz, prove that : (3x-x^3)/(1-3x^2)+ (3y-y^3)/(1-3y^2)+(3z...

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