Home
Class 11
MATHS
If alpha+beta+gamma=2pi then...

If `alpha+beta+gamma=2pi` then

A

`"tan" (alpha)/(2) + "tan" (beta)/(2) + "tan" (gamma)/(2) = "tan " (alpha)/(2) "tan"(beta)/(2) "tan " (gamma)/(2)`

B

`"tan " (alpha)/(2) " tan " (beta)/(2) + "tan" (beta)/(2) "tan " (gamma)/(2) + "tan " (gamma)/(2) "tan " (alpha)/(2)=1`

C

`"tan " (alpha)/(2) + "tan " (beta)/(2) + "tan " (gamma)/(2)= - "tan " (alpha)/(2) "tan " (beta)/(2) "tan " (gamma)/(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha+beta-gamma=pi , then sin^(2)alpha=sin^(2)beta-sin^(2)gamma is equal to

If alpha + beta + gamma=pi, then the value of sin ^(2) alpha + sin ^(2) beta - sin^(2) gamma is equal to

If alpha+beta+gamma=2pi and x+(cosbeta)y+(cosgamma)z=0 , (cosbeta)x+y+(cos alpha)z=0 (cosgamma)x+(cos alpha)y+z=0 then no. of solutions are

If alpha + beta + gamma = pi , show that : tan (beta+gamma-alpha) + tan (gamma+alpha-beta) + tan (alpha+beta-gamma) = tan (beta+gamma-alpha) tan (gamma+alpha-beta) tan (alpha+beta-gamma)

If alpha + beta- gamma= pi , prove that sin^(2)alpha + sin^(2)beta - sin^(2)gamma = 2sin alpha sin beta cos gamma .

If alpha, beta, gamma are the cube roots of 8 , then |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)|=