Question

prove it

cot`¹x-cot`¹y=cot`¹xy+1/y-x​

Answer 1

Answer:

cot`¹x=alfa

and,

cot`¹=beta

:.cot alfa=x and cot bata=y

Now,

cot(alfa-beta) = cot alfa cot beta+1/cot beta-cot alfa = xy+1/y-x

:.alfa- beta= cot`¹ xy+1/y-x

or, cot`¹xcot`¹ y = cot `¹ xy+1/y-x (prove)

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Answer 2

cot`¹x=alfa

cot`¹y=beta

:.cot alfa =x ans cot beta=y

Now, cot(alfa+beta) =cot alfa cot beta -1/cot beta+cot alfa

=xy-1/y+x

:.alfa + beta = cot`¹ xy-1/y+x

or, cot`¹ x + cot`¹ y= cot`¹ xy-1/y+x

______prove _______

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