Let `alpha, beta, gamma` be distinc real numbrs such that ` aalpha^2+balpha+c=(sin theta)alpha^2+(cos theta )alpha` ` abeta^2+bbeta+c=(sin theta)beta^2+(cos theta )beta` `a gamma^2+ b gamma +c = (sin theta)gamma^2+(cos theta) gamma` Find the maximum value of he expression `(a^2+b^2)/(a^2+3ab+5b^2)`

Let alpha,beta,gamma be distinc real numbrs such that a alpha^(2)+b alpha+c=(sin theta)alpha^(2)+(cos theta)alphaa beta^(2)+boldsymbol eta+c=(sin theta)beta^(2)+(cos theta)gammaa gamma^(2)+b gamma+c=(sin theta)gamma^(2)+(cos theta)gamma Find the maximum value of he expression (a^(2)+b^(2))/(a^(2)+3ab+5b^(2))

Ifcos alpha+cos beta=a,sin alpha+sin beta=b and alpha-beta=2 theta then (cos3 theta)/(cos theta)=

If A = |(sin (theta + alpha),cos (theta + alpha),1),(sin (theta + beta),cos (theta + beta),1),(sin (theta + gamma),cos (theta + gamma),1)| , then

If A = |(sin (theta + alpha),cos (theta + alpha),1),(sin (theta + beta),cos (theta + beta),1),(sin (theta + gamma),cos (theta + gamma),1)| , then

If cos alpha+cos beta=a sin alpha+sin beta=balpha-beta=2 theta then (cos3 theta)/(cos theta)=

If cos alpha+ cos beta= a, sin alpha+ sin beta= b and alpha- beta= 2 theta . Then (cos 3 theta)/(cos theta)=

If cos alpha+cos beta=a*sin alpha+sin beta=b and alpha-beta=2 theta then (cos3 theta)/(cos theta)=

If alpha + beta + gamma = 2 theta , " then " cos theta + cos ( theta - alpha ) + cos (theta - beta ) + cos ( theta - gamma ) =

If alpha+beta+gamma=2 theta ,then cos theta + cos(theta - alpha) + cos(theta - beta) + cos(theta - gamma) =

If sin (theta + alpha) = a and sin (theta + beta) = b,"then" cos 2 (alpha - beta) - 4ab cos (alpha - beta) =