sec theta (1-sin theta) (sec theta +tan theta )
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Step-by-step explanation:
sec theta (1-sin theta) (sec theta + tan theta)
=1/cos theta (1-sin theta) (sin theta/ cos theta)
= (1-sin theta/cos theta)(1+sin theta/cos theta)
= [(1-sin theta)(1+sin theta)]/cos^2 theta
= (1- sin^2 theta)/ cos^2 theta
= cos^2 theta/cos^2 theta = 1
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