Prove that (cot theta + "cosec" theta ...

Prove that
`(cot theta + "cosec" theta -1 )/(cot theta - "cosec" theta +1)=(1+ cos theta)/(sin theta).`

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OSWAL PUBLICATION-INTRODUCTION TO TRIGONOMETRY AND TRIGONOMETRIC IDENTITIES -NCERT CORNER (Textbook Questions) (Exercise - 8.4)

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