Question

prove it- (1+cotA) sin²A=1​

Answer 1

Here, cotA can be written as cosA ÷ sinA

so,

$(1 + \frac{cos \: a}{sin \: a} ) {sin}^{2} a$

Taking LCM, and cancelling out the common terms,

${sin}^{2} a + sin \: a \times cos \: a$

This equation will be equal to 1 if and only if sin a and cos a = 1/√2

That is

$a = 2n\pi + \frac{\pi}{4}$

where n is an integer.

So, inorder to prov this equation, there should be a condition which is mentioned above.

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