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(tan theta+sec theta-1)/(tan theta-sec t...

(tan theta+sec theta-1)/(tan theta-sec theta+1)=sec theta+tan theta

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(tan theta+sec theta-1)/(tan theta-sec theta+1)=(1+sin theta)/(cos theta)

(tan theta+sec theta-1)/(tan theta-sec theta+1)=(1+sin theta)/(cos theta)