`cos2 theta+2 costheta` is always

Prove that for thetainR , the line y=(x-11)costheta-cos3theta is always normal to the parabola y^(2)=16x .

If sin theta_1 + sin theta_2 + sintheta_3 =3 then cos theta_1 + cos theta_2 + costheta_3 is equal to

Find the values of theta , for which cos3theta+sin3theta+(2sin2theta-3)\ (sintheta-costheta) is always positive

Find the values of theta , for which cos3theta + sin3theta + (2sin2theta-3)(sintheta-costheta) is always positive.

The value of cos ^(2) theta + sec ^(2) theta is always

The minimum value of cos2theta +costheta for all values of theta is :

(sin5theta+sin2theta-sin theta)/(cos5theta+2cos3theta+2cos^(2)theta+costheta) is equal to

If pi le theta le (3pi)/2 , then sqrt((1+cos theta)/(1-costheta))+sqrt((1-costheta)/(1+costheta)) is equal to :

The value of (sintheta-2sin^(3)theta)/(2cos^(3)theta-costheta) is equal to