Question

cosec A-cot A=2, the value of cosec²A+cot²A is ___

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Answer 1

Answer:

Here, The value of (cosec^2A+cot^2A) is (-1).

Step-by-step explanation:

Here, Asper our given question,

=cosecA-cotA=2

So, cosec^2A+cot^2A=(-1)

As we know that,

=cosec^2A+cot^2A=1/sin^2A+cos^2A/sin^2A (cosecA=1/sinA, cotA=cosA/sinA)

On taking Lcm and solving it, we get,

=(1+cos^2)/sin^2A

=(-sin^2A)/sin^2A (cos^2A+sin^2A=1)

=(-1)/1

=(-1)

So, Here the answer is (-1).

Thank you.