If `sintheta=1/2a n dcostheta=-(sqrt(3))/2,` then the general value of `theta` is `(n in Z)dot`

If sqrt3 cos theta + sin theta = sqrt2, then the general value of theta is-

If sin 6 theta + sin 4theta + sin 2theta= 0 , then general value of theta is (n is integer)

If sintheta-costheta=3^(1/2) , then the value of sin^3theta-cos^3theta is __________ .

If sintheta+costheta=sqrt2 find the value of theta

If sintheta-costheta=1, then the value of sin^3theta-cos^3theta is __________

If the vectors vec aa n d vec b are linearly idependent satisfying (sqrt(3)tantheta+1 )veca+(sqrt(3)s e ctheta-2) vec b=0, then the most general values of theta are a. 2npi-pi/6, n in Z b. 2npi+-(11pi)/6, n in Z c. npi+-pi/6, n in Z d. 2npi+(11pi)/6, n in Z

Let P = [theta : sintheta – costheta = sqrt2 costheta) andQ= {theta : sintheta + costheta = 12 sintheta} be two sets. Then:

If sintheta_1sintheta_2-costheta_1costheta_2+1=0, then the value of tan((theta_1)/2)cot((theta_2)/2) is equal to

If theta=3alpha and sintheta=a/(sqrt(a^2+b^2)), the value of the expression acos e calpha-bsecalpha is

The general value of sin ^(-1) ""((sqrt(3))/(2)) is -