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If (sin^4 theta)/a+ (cos^4 theta)/b= 1/(...

If `(sin^4 theta)/a+ (cos^4 theta)/b= 1/(a+b)`, prove that `(sin^(4n) theta)/a^(2n-1)+ (cos^(4n) theta)/b^(2n-1)= 1/(a+b)^(2n-1), n in N` .

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If alpha and beta are two real numbers satisfying the equation a cos x...

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  2. If (sin^4 theta)/a+ (cos^4 theta)/b= 1/(a+b), prove that (sin^12 thet...

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  3. If (sin^4 theta)/a+ (cos^4 theta)/b= 1/(a+b), prove that (sin^(4n) th...

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  4. If a tan alpha+b tan beta=(a+b) tan ((alpha+beta)/2), where alpha ne b...

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  5. If alpha and beta are the solution of a cos theta + b sin theta = c...

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  6. If alpha and beta are the solutions of a cos theta+b sin theta=c, the...

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  7. If alpha and beta are distinct roots of the equation : a tan theta+b s...

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  8. Prove that cot 7 1^@/2 = (1+cos15^@)/(sin 15^@).

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  9. Prove that 4 cos 36^@ +cot 7 1^@/2 = sqrt1+sqrt2 +sqrt3+ sqrt4+ sqrt5+...

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

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

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

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

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

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

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

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

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

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

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

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