Question

derive the identity 1 + cot²theta = cosec² theta​

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Answer 1

Step-by-step explanation:

${sin}^{2} x + {cos}^{2} x = 1$

Simply divide the above equation with

${sin}^{2} x$

You'll get the required equation.

Answer 2

Step-by-step explanation:

1 st step....sin square theta+ cos square theta =1

or,sin square theta/cos square theta+cos square theta/cos square theta=1/cos square theta

or,(sin theta/cos theta)square + cos square theta/cos square theta= sec square theta(because 1/cos theta=sec theta)

or,tan square theta+1=sec square theta

or,1+tan square theta=sec square theta(prove)...,(I)

now, 1+ tan square theta=tan square theta

or,1/1+1/tan square theta=1/tan square theta

or,1+cot square theta=cot square theta(prove)(YOUR ANSWER)

Hey,I prove it easily in 3 lines but I see...(I) it for your benefit. To this,you have no doubt and it will more clear to you.