If `sintheta,tantheta,costheta` are in G.P. then `4sin^2theta-3sin^4theta+sin^6theta=?`

Solve 7cos^2theta+3sin^2theta=4

Solve sin 6 theta=sin 4 theta-sin 2 theta .

If sintheta +costheta =1 then sin^6 theta +cos^6 theta is:

If sintheta,costheta and tantheta are in G.P., then prove that cot^(6)theta-cot^(2)theta=1

Prove sin(180-theta)=sintheta

Solve sin2theta+costheta=0

Assertion: sin2theta=(2tantheta)/(1+tan^2 theta) , Reason: sin^2 theta +cos^2 theta =1,sin2theta=2sinthetacostheta

Show that ((cos theta - cos 3 theta) (sin 8 theta + sin 2 theta))/((sin 5 theta - sin theta) (cos 4 theta- cos 6 theta))=1

If cos theta+sin theta=sqrt2 cos theta, show that cos theta-sin theta=sqrt2 sin theta .