prove that sin∅cos∅(tan∅+cos∅)=1
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Explanation:
sin theta cos theta ( sin theta / cos theta + cos theta ). ( since tan theta = sin theta / cos theta )
sin theta cos theta ( sin theta + cos² theta / cos theta )
sin theta cos theta × sin theta + cos² theta / cos theta
sin ² theta + cos ² theta = 1 ( since sin² theta + cos² theta = 1)
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