सर्वसमिकाओ को सिद्ध करो:
`(sin (90^(@)-theta)sin theta )/(tan theta )-1=-sin^2 theta`

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

If tan theta+sin theta=m and tan theta-sin theta=n

(sin theta+sin2 theta)/(1+cos theta+cos2 theta)=tan theta

(sin theta+sin2 theta)/(1+cos theta+cos2 theta)=tan theta

If tan theta+sin theta=m and tan theta-sin theta=n , then

(iii) tan theta-sin theta=sin theta tan theta-1

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

(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) ] .

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