Math, asked by jass2424, 1 year ago

cosecA+cotA/cosecA-cotA=(cosecA+cotA)2​

Answers

Answered by brunoconti
4

Answer:

Step-by-step explanation:

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Answered by FelisFelis
7

\frac{\csc A+\cot A}{\csc A-\cot A}=(csc A+\cot A)^2 Proved.

Step-by-step explanation:

Consider the provided information.

\frac{\csc A+\cot A}{\csc A-\cot A}=(csc A+\cot A)^2

Consider the LHS

=\frac{\csc A+\cot A}{\csc A-\cot A}

Rationalize the denominator.

=\frac{\csc A+\cot A}{\csc A-\cot A}\times\frac{\csc A+\cot A}{\csc A+\cot A}

=\frac{(\csc A+\cot A)^2}{\csc^2 A-\cot^2 A}

Now use the property: \csc^2\theta-\cot^2\theta=1

=\frac{(\csc A+\cot A)^2}{1}

=(\csc A+\cot A)^2

LHS=RHS

Hence, proved

#Learn more

Sin theta upon 1 minus cos theta equals to cosec theta + cot theta prove

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