please solve this please prove this
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Answer:
cos theta - sin theta
Step-by-step explanation:
L.H.S. = cos theta / 1- tan theta + sin theta / 1- cot theta
= cos theta/ 1- sin theta /cos theta + sin theta / 1- cos theta/ sin theta
= cos theta / cos theta - sin theta/ cos theta + sin theta/ sin theta - cos theta / sin theta
= cos square theta / cos theta- sin theta + sin square theta / sin theta - cos theta
= cos square theta / cos theta- sin theta - sin square theta / cos theta- sin theta
= cos square theta - sin square theta / cos theta - sin theta
= ( cos theta+ sin theta)(cos theta - sin theta) / ( cos theta- sin theta)
= cos theta + sin theta
Q.ed.
HOPE IT HELPS YOU
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