If `cos^-1 lambda + cos^-1 mu + cos^-1 gamma = 3 pi`, then find the value of `lambda mu + mu gamma + gamma lambda`

If cos^(-1)lambda+cos^(-1)mu+cos^(-1)gamma=3pi, then find the value of lambdamu+mulambdadot

If sin alpha + sin beta + sin gamma =3, then the value of (cos alpha + cos beta+ cos gamma) is-

If f(x)=lambda|sinx|+lambda^2|cosx|+g(lambda) has a period = pi/2 then find the value of lambda

If int (dx)/(1+sinx) = tan (x/2 - pi/lambda) + b , then the value of lambda is -

If the equation 4x^2-x-1=0 and 3x^2+(lambda+mu)x+lambda-mu=0 have a root common, then the irrational values of lambda and mu are a lambda=(-3)/4 b. lambda=0 c. mu=3/4 b. mu=0

If |{:(1,cos alpha, cos beta),(cos alpha, 1 , cos gamma ),(cos beta, cos gamma , 1):}|=|{:(0,cos alpha, cos beta),(cos alpha , 0 , cos gamma),(cos beta, cos gamma, 0):}| then the value of cos^2 alpha + cos^2 beta + cos^2 gamma is : (a) 1 (b) 1/2 (c) 3/8 (d) 9/4

If cos alpha+ cos beta+ cos gamma + cos alpha cos beta cos gamma=0 , show that sin alpha (1+ cos beta cos gamma)=+- sin beta sin gamma .

If B(1,3) be equidistant from the point A(6,-1) and C(lambda,8) , then the value of lambda is /are -

A B C is a triangle and A=(2,3,5),B=(-1,3,2) and C= (lambda,5,mu). If the median through A is equally inclined to the axes, then find the value of lambda and mu

If cos (beta - gamma) + cos (gamma - alpha) + cos (alpha - beta) = -3/2, "show that", cos alpha + cos beta + cos gamma = 0 "and" sin alpha + sin beta + singamma = 0."Hence deduce that," cos (beta - gamma) = cos (gamma - alpha) = cos (alpha - beta) = -1/2.