Question

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Prove the following:

`\sf( \tan( \theta) )/(1 - \cot( \theta) ) + ( \cot( \theta) )/( 1 - \tan( \theta) ) = \sec( \theta) \cdot \: \csc( \theta) + 1`

`\text{note: explanation is obvious}`​

Answer 1

the pictures are attached

please see the explanation in the attached picture

Answer 2

note:
`\theta =y`

Your answer is in the attachment.

we have

siny(cosy-siny)

taking - common from this

-siny(-cosy+siny)

-sin y(siny-cosy)