Question

If cosec theta + cot theta = p then prove that cos theta = p^2 -1÷p^2+1

Answer 1

Cosec@ - cot@ = p

1 - cos@= p sin@

1- p sin@ = cos@

1- p sin@ = sqrt(1 - sin²@)

On square

1 + p² sin²@ - 2p sin@ = 1 - sin²@

Now

You can make quadratic equation in sin@

Hence can find sin@ and cosec@

Where @ = theta

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Answer 2

Here is the answer

This might help u

My writing is little dirty so.......