`(sin 3 theta)/(2 cos 2theta +1) =1/2` if `theta =`

Prove : (cos^2 theta)/(1-tan theta) + (sin^3 theta)/(sin theta-cos theta) = 1 + sin theta cos theta

1- (sin ^ (2) theta) / (1 + cos theta) + (1 + cos theta) / (sin theta) - (sin theta) / (1-cos theta) - (1) / (sec theta)

(sin3 theta+cos3 theta)/(cos theta-sin theta)=1+2xx sin2 theta

Prove: (cos^2theta)/(1-tan theta) + (sin^3 theta)/(sin theta - cos theta ) = 1 + sin theta cos theta

((sin theta-2 sin^3 theta)/(2 cos^3 theta- cos theta))^2-1, theta ne 45^@ , is equal to: ((sin theta-2 sin^3 theta)/(2 cos^3 theta- cos theta))^2-1, theta ne 45^@ का मान किसके बराबर है ?

1-(sin^(2) theta)/(1+cos theta) + (1+cos theta)/(sin theta) - (sin theta)/(1-cos theta) - (1)/(sec theta)=

If theta _(1) ,theta _(2), theta _(3),.....theta _(n) are in A.P. then (sin theta_(1) + sin theta _(2 ) +...+ sin theta _(n))/( cos theta_(1) + cos theta _(2) + ...+ cos theta _(n))

Prove that: (a) (sin 2 theta)/(1+cos 2 theta)=tan theta (b) (1+sin 2 theta+cos 2theta)/(1+sin2 theta-cos 2 theta)=cot theta

(xv) (cos^2 theta) / (1- tan theta) +( sin^3 theta)/ (sin theta - cos theta) = 1 + sin theta cos theta