Home
Class 12
MATHS
If P=x+1/x and P(tan alpha)=2, P(tan bet...

If `P=x+1/x` and `P(tan alpha)=2, P(tan beta)=2sqrt2, P(cot gamma)=4` where `alpha, beta, gamma` are acute angles and sum of all possible distinct values of `alpha, beta` and `gamma `is given by `(mpi)/n` where `m` and `n` are coprime, then find the value of `(m+n)`

Promotional Banner

Similar Questions

Explore conceptually related problems

If P=x+(1)/(x) and P(tan alpha)=2,P(tan beta)=2sqrt(2),P(cot gamma)=4 where alpha,beta,gamma are acute angles and sum of all possible distinct values of alpha,beta and gamma is given by (m pi)/(n) where m and n are coprime,then find the value of (m+n)

If alpha, beta, gamma in [0,2pi] , then the sum of all possible values of alpha, beta, gamma if sin alpha=-1/sqrt(2), cos beta=-1/sqrt(2), tan gamma =-sqrt(3) , is

If alpha, beta, gamma in [0,2pi] , then the sum of all possible values of alpha, beta, gamma if sin alpha=-1/sqrt(2), cos beta=-1/sqrt(2), tan gamma =-sqrt(3) , is

If alpha,beta,gamma are acute angle such that cos alpha=tan beta,cos beta=tan gamma and cos gamma=tan alpha then

If tan beta=2 sin alpha sin gamma "cosec" (alpha+ gamma) then cot alpha, cot beta, cot gamma are in

If tan beta=2sin alpha sin gamma co sec(alpha+gamma) , then cot alpha,cot beta,cotgamma are in

If tan beta=2sin alpha sin gamma co sec(alpha+gamma) , then cot alpha,cot beta,cotgamma are in

If tan beta=2sin alpha sin gamma co sec(alpha+gamma) , then cot alpha,cot beta,cotgamma are in

If a tan alpha+sqrt(a^(2)-1)tan beta+sqrt(a^(2)+1)tan gamma=2a where a is a constant and alpha,beta and gamma are variable angles.Then the least value of tan^(2)alpha+tan^(2)beta+tan^(2)gamma is equal to

If alpha, beta, gamma ,are positive acute angles and sin (alpha+beta-gamma)=cos(beta+gamma-alpha)=tan (gamma+alpha-beta)=1 find alpha,beta and gamma .