Find the acute angle`theta`such that `2cos^2theta=3sintheta`.

Find the acute angle theta such that 5tan^2theta+3=9sectheta .

If the angle theta is acute, then the acute angle between x^(2)(cos theta-sin theta)+2xy cos theta+y^(2)(cos theta+sin theta)=0, is

If tan theta=1/2 , evaluate frac(2sin theta+3cos theta)(4cos theta+3sin theta)

If sqrt3 tan theta = 3 sin theta , find the value of sin theta^2 theta - cos^2 theta , where theta ne 0 .

Prove that : (1-sin theta cos theta)/ (cos theta (sec theta - cosec theta)) times (sin^2 theta - cos^2 theta)/(sin^3 theta + cos^3 theta) = sin theta

If 3 sin theta - 4 cos theta = 0 , then find the values of tan theta , sec theta and cosec theta .

Eliminate theta,if x=2 costheta-3sintheta y= costheta+2sintheta

|(sin^2theta,cos^2theta),(cos^2theta,sin^2theta)|=

Show that: (frac(sin3theta+2sin5theta+sin7theta)(sintheta+2sin3theta+sin5theta))=cos2theta+sin2thetacot3theta

Prove the following ((1+cottheta+tantheta)(sintheta-costheta))/(sec^3theta-cosec^3theta)=sin^2thetacos^2theta