The expression `(sin(alpha+theta)-"sin"(alpha-theta))/(cos(beta-theta)-cos(beta+theta))` is - independent of `alpha` b. independent of `beta` c. independent of `theta` d. independent of `alpha\ a n d\ beta`

The expression cos^2(alpha+beta)+cos^2(alpha-beta)-cos2alpha.cos2beta, is (a)independent of alpha (b) independent of beta (c)independent of alphaa n dbeta (d)dependent on alphaa n dbeta

If 3sinbeta=sin(2alpha+beta) then tan(alpha+beta)-2tanalpha is (a)independent of alpha (b)independent of beta (c)dependent of both alpha and beta (d)independent of both alpha and beta

Show that cos^2theta+cos^2(alpha+theta)-2cosalphacostheta"cos"(alpha+theta) is independent of thetadot

The expression cos^(2)(alpha + beta + gamma) + cos^(2)(beta + gamma) + cos^(2)alpha - 2cos alpha cos(beta + gamma)cos(alpha + beta + gamma) is (a) independent of alpha (b) independent of beta (c) dependent on gamma only (d) dependent on alpha, beta, gamma

If p(x), q(x), r(x) be polynomials of degree one and alpha, beta, gamma are real nubers then |(p(alpha), p(beta), p(gamma)),(q(alpha), q(beta), q(gamma)), (r(alpha), r(beta), r(gamma))| (A) independent of alpha (B) independent of beta (C) independent gamma (D) independent of all alpha,beta and gamma

sin(3theta+alpha)+sin(3theta-alpha)+sin(alpha-theta)-sin(alpha+theta)=cosalpha

The expression nsin^(2) theta + 2 n cos( theta + alpha ) sin alpha sin theta + cos2(alpha + theta ) is independent of theta , the value of n is

If determinant |cos(theta+phi) sin(theta+phi)cos2phi sin thetacostheta sinphi costheta sintheta cosphi | is a. positive b. independent of theta c. independent of phi d. none of these

The determinant D=|{:(cos(alpha+beta),-sin(alpha+beta),cos2beta),(sinalpha,cosalpha,sinbeta),(-cosalpha,sinalpha,cosbeta):}| is independent of :-

Prove that : 2 sin^2 theta + 4 cos (theta + alpha) sin alpha sin theta + cos 2 (alpha + theta) is independent of theta.