Question

prove that cosec^2-cot^2=1​

Answer 1

Step-by-step explanation:

cosec²x - cot²x

(cosec²x = 1 + cot²x)

1 + cot²x - cot²x = 1 (hence proof)

Answer 2

Bonjour mate ❤

Answer:

$= > {cosec}^{2} - {cot}^{2} = 1$

As you know that,

$= > {cosec}^{2} \: is \: equal \: to=> \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1 + {cot}^{2}$

Put the value of cosec2 in the equation-

cosec2-cot2=1

Take LHS

=> 1 + cot2 -cot2

+cot2 and -cot2 will be cancelled...

Answer will be =>1

Therefore L. H. S = R. H. S

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