If `asintheta=bsin(theta+(2pi)/(3))=csin(theta+(4pi)/(3))` then prove that, `ab+bc+ca=0`.

Prove that sintheta+sin(theta+(2pi)/(3))+sin(theta+(4pi)/(3))=0

If acos2theta+bsin2theta=c has alphaandbeta as its roots, then prove that tanalpha+tanbeta=(2b)/(a+c) .

The value of 3(cos theta-sin theta)^(4)+6(sin theta+cos theta)^(2)+4 sin^(6) theta is where theta in ((pi)/(4),(pi)/(2))

If tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta ) , then sin theta + cos theta is equal to

Prove that 2 (sin^(6)theta +cos^(6) theta ) - 3(sin^(4)theta +cos^(4) theta ) + 1 = 0

Find the general solution for each of the following equations : tantheta+tan(theta+(pi)/(3))+tan(theta+(2pi)/(3))=3

If sec theta = (5)/(3) and 0 lt theta lt (pi)/(2) . Find all the other T-ratios.

If sec theta = (5)/(3) and 0 lt theta lt (pi)/(2) . Find all the other T-ratios.

if sin2theta=pi/2 and costheta=pi/3 then what is the value of sintheta

The value of theta , lying between theta =0 and theta=(pi)/(2) and satisfying the equation . |{:(1+ cos^(2 ) theta , sin^(2) theta , 4 sin 4 theta ),(cos^(2) theta , 1+sin^2 theta , 4 sin 4 theta ),(cos^(2) theta , sin^(2) theta , 1+ 4 sin 4 theta ):}|=0 , is