[" arió क61: "],[" (i) "cot(theta+15^(@))-tan(theta-15^(@))=(4cos2 theta)/(1+2sin2 theta)]

cot(theta+15^(@))-tan(theta-15^(@))=(4cos2 theta)/(1+2sin2 theta) prove that

Prove that, cot ( theta + 15^(@))- tan(theta - 15^(@))=(4 cos 2 theta)/(1+2 sin 2 theta)

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

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

(cos theta)/(1 - tan theta) + (sin theta)/(1 - cot theta) =……...

Show that [[1 , -tan theta ],[ tan theta, 1]][[1, tan theta],[ -tan theta, 1]]^(-1)=[[cos 2 theta, -sin 2 theta],[ sin 2 theta, cos 2 theta]]

Prove that (i) (1- sin theta)/(1+ sin theta)=(sec theta - tan theta )^(2) (ii) ((1+cos theta))/((1- cos theta))= ("cosec" theta + cot theta)^(2)

(sin theta" cosec "theta tan theta cot theta)/(sin^(2)theta+cos^(2)theta)

(1+sin2 theta-cos2 theta)/(1+sin2 theta+cos2 theta)=tan theta

prove that (cos theta)/(1-tan theta)+(sin theta)/(1-cot theta)=cos theta+sin theta