" 16."(sin(90^(@)-theta)sin theta)/(tan theta)-1=-sin^(2)theta

(sin(90^(@) -theta)sin theta)/(tan theta) + sin^(2) theta is equal to

Prove the following identities: cos theta sin(90o-theta)+sin theta cos(90o-theta)=1sin(sin(90o-theta))/(tan theta)-1=-sin^(2)theta( iii) (sin(90o-theta)cos(90o-theta))/(tan theta)=1-sin^(2)theta

(sin^(2) 20^(@) + sin^(2) 70^(@))/(cos^(2) 20^(@) + cos^(2) 70^(@)) + [ (sin (90^(@) - theta).sin theta)/(tan theta) + (cos (90^(@) - theta).cos theta)/(cot theta) ] .

tan^(2)theta-tan^(2)(90^(@)-theta)=(sin^(2)theta-cos^(2)theta)/(sin^(2)theta cos^(2)theta)

(2sin theta-sin2 theta)/(2sin theta+sin2 theta)=tan^(2)((theta)/(2))

(cos theta)/(sin(90^(@)+theta))+(sin(-theta))/(sin(180^(@)+theta))-(tan(90^(@)+theta))/(cot theta)

Prove that :(sin theta cos(90^(0)-theta)cos theta)/(sin(90^(0)-theta))+(cos theta sin(90^(0)-theta)sin theta)/(cos(90^(@)-theta))=1csc^(2)(90^(@)-theta)-tan^(2)theta=cos^(2)(90^(@)-theta)+cos^(2)theta

Evaluate : sin theta cos theta - (sin theta cos (90^(@) - theta) cos theta)/( sec (90^(@) - theta)) - (cos theta sin (90^(@) - theta) sin theta)/( cosec (90^(@) - theta))

sin theta cos(90^(@)-theta)+cos theta sin(90^(@)-theta)

Prove that (1+sin 2theta)/(1-sin 2theta) = ((1+tan theta)/(1-tan theta))^2