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If in triangle ABC, cot A + cot B + cot ...

If in `triangle ABC, cot A + cot B + cot C = sqrt3`, prove that the triangle is equilateral.

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If A + B + C =180^@, prove that : cos (-A+B +C)+cos(A-B+C)+ cos (A +B-...

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

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

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

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

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

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

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

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

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

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

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  12. If tan(pi cos theta )= cot (pi sin theta ) ,then cos^(2)(theta -pi/...

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  13. Find all the solution of 4 cos^(2)x sinx -2 sin^(2) x=3 sinx

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  14. In any triangle ABC, prove that : (b^2-c^2)/(a^2)= sin (B -C)/sin(B+C)...

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  15. Find the radian measure of the following degree measure 40°20

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  16. Radian measures of 520^(@) is :

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  17. The value of (25)^0 is :

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  18. Find the value of : sin 765^@.

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  19. Find the value of : tan frac (19 pi)(3).

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  20. Value of sin frac (31 pi)(3) is :

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