Home
Class 12
MATHS
If A+B+C=pi, prove that (a) tan 3A+tan...

If `A+B+C=pi`, prove that
(a) `tan 3A+tan3B+tan3C=tan3A tan 3B tan 3C`
(b) `cot""(A)/(2)+cot""(B)/(2)+cot""(C)/(2)=cot""(A)/(2)cot""(B)/(2)cot""(C)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 11|10 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|52 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 9|10 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

If A + B + C =180^@ , prove that : tan A + tan B + tan C = tan A tan B tan C .

If A + B + C =pi/2 , prove that : tan A tan B + tan B tanC +tanC tan A=1 .

If A + B + C =180^@ , prove that : tan 2A + tan 2B + tan 2C = tan 2A tan 2B tan 2C .

If A+B + C = pi , show that : tan""(A)/(2) tan""(B)/(2) + tan""(B)/(2)tan""(C)/(2)+tan""(C)/(2)tan""(A)/(2) = 1 .

If A + B + C =pi/2 , prove that : cot A + cot B + cot C = cot A cot B cot C .

If A + B + C =pi , prove that : (sin A + sin B +sin C)/(sin A + sin B -sin C)= cot frac (A)(2) cot frac (B)(2) .

If A+B+C=pi , then, find tan A + tan B + tan C

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

If tan A = cot B, prove that A + B = 90^@ .

If tan A = cot B. prove that A +B = 90^@ .