Sin(90°-theta)cos(90°-theta)=tan theta/1+tan^2 theta
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Step-by-step explanation:
sin(90'-theta)*cos(90'-theta)
=(sin90'*cos theta-cos90'*sin theta)(cos90'*cos theta + sin90'*sin theta)
= (1*cos theta-0)(0+1*sin theta)
= cos theta * sin theta
= 2 sin theta*cos theta/2
= sin (2theta)/2
= 1/2(2tan theta/1+tan² theta)
= tan theta/1+tan² theta
= tan theta/sec² theta
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