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 ENGLISH|Exercise Exercise For Session 11|10 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

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

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 9|10 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

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

  • VECTOR ALGEBRA

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

Similar Questions

Explore conceptually related problems

If A + B + C = pi , prove that tan3A + tan3B + tan3C = tan3A*tan3B*tan3C

In any triangle ABC prove that cot(A/2)+cot(B/2)+cot(C/2)=cot(A/2)cot(B/2)cot(C/2)

cot A =1/2 (cot ""(A)/(2) - tan "" (A)/(2)).

Prove that (b + c -a) (cot.(B)/(2) + cot.(C)/(2)) = 2a cot.(A)/(2)

Prove that : (cot A + tan B)/ (cot B + tan A) = cot A tan B

In any DeltaABC , prove that cot (A/2) + cot (B/2) + cot (C/2) = (a+b+c)/(b+c-a) cot (A/2)

Prove that tan A - cot A =-2 cot2A

For triangle ABC, show that : (i) "sin" (A + B)/(2) = "cos" (C)/(2) (ii) "tan" (B + C)/(2) = "cot" (A)/(2)

If A+B+C=pi , prove that: cot^2 A+cot^2 B + cot^2 C ge 1

Show that in any triangle ABC, (a+b+c) (tan (A/2) + tan (B/2)) = 2c cot (C/2)