Question

if cosecA-cotA=13, then find cosecA+ cotA​

Answer 1

Answer:

1/13

Step-by-step explanation:

we know that

$( \csc( alpha ) )^{2} - { \cot( \alpha ) }^{2} = 1 \\ \\ (\csc( \alpha ) - \: \ \\ \cot( \alpha ) ) \times ( \csc( \alpha ) + \cot( \alpha ) ) = 1$

so by this we get 1 / 13

Answer 2

If cosecA- cotA = 13 then the value of cosecA + cotA = 1/13

Given:

cosecA - cotA = 13

To find:

The value of cosecA + cotA

Solution:

The value of cosecA - cotA is already given as 13. Through trigonometric rules, we can say that,

cosec²A - cot²A = 1

Through mathematical expressions, we can write a²-b² as

a²-b²=(a + b)(a - b)

Now using this mathematical expression, let us write cosec²A - cot²A

cosec²A - cot²A = (cosecA + cotA)(cosecA - cotA)

As we know that cosec²A - cot²A = 1 and cosecA-cotA=13, let the substitute these values in the equation.

1 = (cosecA + cotA)(13)

1/13 = cosecA+ cotA​

Therefore cosecA+ cotA​ value is 1/13.

#SPJ3