(viii) Prove that
cos (90° - theta) cos theta / cot theta = 1 - cos square theta
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Answer:
cos(90-theta)cos theta/ cos theta
since cos (90-theta)= -cos theta = cos theta
cos theta * cos theta / cos theta
one cos theta get cancelled in numerator with denominator
we know cos2 theta = 1-2cos square theta, similarly
cos theta= 1-cos square theta
hence proved
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