Find all the numbers between 0 and `2 pi`, which satisfy the equation `2 sin^2 theta= 3 cos theta`.

Find all values of A between 0^@ and 720^@ , which satisfy the equation 2 cos^2 A -5 cosA +2 =0 .

Find all values of theta lying between 0 and 2 pi satisfying the equation r sin theta = sqrt 3 and r + 4 sin theta =2(sqrt 3+1)

Find the most general value of theta , which satisfies both the equations : sin theta=-1/2, cos theta=- sqrt3/2 .

Is the equation 2 sin^2 theta -cos theta+ 4 = 0 possible ?

Find the most general value of theta , which satisfies both the equations : cosec theta=2, cot theta= -sqrt3 .

Find sin 2 theta when sin theta + cos theta= 1 .

Find the general values of theta which satisfies the equation tan theta =-1 and cos theta =(1)/(sqrt(2))

Find the most general value of theta which satisfies the equation sin theta =(1)/(2) and tan theta =(1)/(sqrt(3))

Find all the value of theta satisfying the equation , sin 7 theta = sin theta + sin 3 theta such that 0 le theta le pi

Find the value of theta (0^@ le theta le 90^@) satisfying : 2 sin^2 theta= 3 cos theta .