if cos`theta` , sin`phi` , sin`theta` are in g.p then check the nature of roots of `x^2+2cotphi.x + 1=0`

If sin theta,sin k theta are the roots of 4x^(2)+2x-1=0, then k=

If cos theta+cos phi=a and sin theta - sin phi=b , then: 2cos(theta + phi) =

If sin theta, cos theta are the roots of 6x^(2)-px+1=0 , then p^(2) =

If sin theta+ sin phi = a, cos theta + cos phi = b, find the value of sin ( theta+phi) and cos 2theta + cos 2phi where |b|>|a|

If tan theta = 1 and sin phi = (1)/(sqrt(2)), and theta, phi in[0,pi/2] , then the value of cos (theta + phi) is

If x=gamma sin theta cos phi, y=gamma sin theta sin phi, z =gamma cos theta , what is the eliminant of theta and phi ?

If sin theta+sin phi=(1)/(2) and cos theta+cos phi=1 then find the value of cot((theta+phi)/(2))

If x sin^(3) theta + y cos^(3) theta = sin theta cos theta ne 0 and x sin theta - y cos theta = 0 , then value of (x^(2) + y^(2)) is :