sin (90°- theta) cos (90°- theta) = tan theta/ 1+tan2 theta
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L.H.S
sin ( 90°- theta) cos ( 90° - theta)
sin theta × cos theta
= 1
R.H.S
tan theta / 1+ tan² theta
= tan theta / sec ² theta
= sin theta / cos theta / sec² theta
= sin ² theta/ sec ² theta
= sin² theta × cos ² theta
= sin ² theta × 1/ sin² theta
= 1
L.H.S =R.H.S. Proved
sin ( 90°- theta) cos ( 90° - theta)
sin theta × cos theta
= 1
R.H.S
tan theta / 1+ tan² theta
= tan theta / sec ² theta
= sin theta / cos theta / sec² theta
= sin ² theta/ sec ² theta
= sin² theta × cos ² theta
= sin ² theta × 1/ sin² theta
= 1
L.H.S =R.H.S. Proved
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