सिद्ध कीजिए कि :
`(sin (90^(@) - theta)sin theta)/(tan theta) - 1 = - sin ^(2) theta`

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

(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) ] .

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

Prove that : (sin \theta . sin(90^(@) - \theta))/(cot (90^(@) - \theta)) = 1 - sin^(2) \theta

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

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

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

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

Value of sec theta(1-sin theta)(sin theta+tan theta) is