Cos theta by 1 minus sin theta + 1 - sin theta by cos theta equal to 2 secant theta
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Step-by-step explanation:
Hi,
LHS = cos theta / 1-sin theta + 1-sin theta / cos theta
= cos theta * cos theta + 1-sin theta * 1-sin theta / cos theta * 1-sin theta
= cos sq theta + 1+ sin sq theta -2sin theta / cos theta * 1-sin theta
= 2 -2sin theta / cos theta * 1-sin theta
=2(1-sin theta )/ cos theta * 1-sin theta
=2/cos theta
= 2 * 1/cos theta
=2 sec theta
= RHS
Hence proved..
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