Question

prove the trigonometric identity 1+ cot square A= cosec square A

Answer 1

1+cot^2A=1+COS^2A\sin^2A= sin^2A+cos^2A/cos^2A=1/COS^2A =cosec^2A

Answer 2

$1 + \cot^2A =cosec^2A$ Proved

Step-by-step explanation:

Consider the provided information.

Consider the LHS of the provided identity.

$1 + \cot^2A =1 + \frac{\cos^2A}{sin^2A}$

$1 + \cot^2A =\frac{sin^2A+\cos^2A}{sin^2A}$

$1 + \cot^2A =\frac{1}{sin^2A}$    (∴$sin^2A+\cos^2A=1$)

$1 + \cot^2A =cosec^2A$

Hence, proved

#Learn more

Prove that  

Sin80 -cos110 = root3sin50  

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