Question

prove sin^2 theta cos^2 theta=1

Answer 1

we know sin thitha =perpendicular/hypotenuse

and cos thitha = base / hypotenuse

taking LHS

sin^2thitha +cos^2thitha

p^2/h^2 +b^2/h^2

taking LCM

p^2+b^2/h^2

we know that h^2=p^2+b^2

so, h^2/h^2

by simplifying we get 1

LHS=RHS

hence proved...

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