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Prove that: (cos 2A cos 3A-cos 2A cos 7A...

Prove that: `(cos 2A cos 3A-cos 2A cos 7A + cos A cos 10A)/(sin 4A sin 3A -sin 2A sin 5A + sin 4A sin 7A)= cot 6A cot 5A`.

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
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  2. Prove that cot theta cot 2 theta+ cot 2 theta cot 3 theta+ 2= cot thet...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If xy + yz + zx = 1, prove that : x/(1-x^2)+y/(1-y^2)+z/(1-z^2)= (4xy...

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  19. Find the solutions x in [0,2 pi] of : sin 2x-12 (sin x -cos x) + 12 =...

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  20. Solve the following trigonometric equation : cos 3 theta + 8cos^3 th...

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