If `sin theta-sqrt(6)costheta=sqrt(7)costheta.` Prove that `cos theta+sqrt6 sin theta-sqrt7 sin theta=0.`

If costheta + sin theta = sqrt2 cos theta , prove that cos theta - sin theta = sqrt2 sin theta .

Show that (1)/( cos theta ) -cos theta =tan theta .sin theta

Let P={theta:sintheta-costheta=sqrt2cos theta} and Q={theta:sintheta+costheta=sqrt2sintheta} be two set. Then,

Solve sintheta+sqrt(3)costheta geq 1 , -pi lt theta lt pi

Simply (sin75^(@)-sin15^(@))/(cos75^(@)+cos15^(@)) Prove that (a) (sin3A+sinA)SinA+(Cos3A-cosA)cosA=0 (c) (sin8thetacostheta-sin6 thetacos 3 theta)/(cos 2 theta cos theta-sin 3 thetasin4 theta)=tan 2 theta

If cos 2 theta =(sqrt(2)+1)( cos theta -(1)/(sqrt(2))) , then the value of theta is

Let theta in (pi//4,pi//2), then Statement I (cos theta)^(sin theta ) lt ( cos theta )^(cos theta ) lt ( sin theta )^(cos theta ) Statement II The equation e^(sin theta )-e^(-sin theta )=4 ha a unique solution.

If sin theta,sqrt(2) (sintheta + 1),6 sin theta +6 are in GP, than the fifth term is

z=i+sqrt(3)=r(cos theta+sin theta)

Prove that sqrt ((1+cos theta )/( 1-cos theta ) ) = cosec theta +cot theta , 0le theta le 90 ^(@)