Question

If cosecA+cotA=P, then find the value of cosecA-cotA

Answer 1

Answer:

The value of \csc A - \cot AcscA−cotA is \dfrac{1}{x}.

x

1

.

Step-by-step explanation:

We have,

\csc A + \cot A = xcscA+cotA=x .....(1)

To find, the value of \csc A - \cot A=?cscA−cotA=?

We know that,

\csc^{2} A - \cot^{2} A=1csc

2

A−cot

2

A=1

⇒ (\csc A + \cot A)(\csc A - \cot A)=1(cscA+cotA)(cscA−cotA)=1

[ ∵ a^{2}-b^{2} =(a+b)(a-b)a

2

−b

2

=(a+b)(a−b)

⇒ (x)(\csc A - \cot A)=1(x)(cscA−cotA)=1 [Using (1)]

⇒ \csc A - \cot A=\dfrac{1}{x}cscA−cotA=

x

1

Hence, the value of \csc A - \cot AcscA−cotA is \dfrac{1}{x}

x

1

.

Answer 2

Answer:

Please refer to the attachment ✌