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Prove rightarrow sin (90^{o}-theta)cos (90^{o}-theta)=dfrac {tan theta}{1+tan ^{2}theta}

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Prove that ( : frac { cot left( 90 ^ { circ } - theta right) } { tan theta } + frac { csc left( 90 ^ { circ } - theta right) } { tan left( 90 ^ { circ } - theta right) } cdot sin theta = sec ^ { 2 } theta )

Prove that sqrt { dfrac { 1+sin { theta } }{ 1-sin { theta } } } +sqrt { dfrac { 1-sin { theta } }{ 1+sin { theta } } } =2sec { theta }

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Prove that Prove that ( cos ( 90 - mathrm { A } ) cdot sin ( 90 - mathrm { A } ) ) ( tan ( 90 - A ) quad = sin ^ { 2 } A ) ( mathbf { P } ) ( frac { 1 } { 1 + cos theta } + frac { 1 } { 1 - cos theta } = 2 csc ^ { 2 } theta )

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prove that sin(90-a)*cos(90-a)=tana/1+tan2a