Question

Value of (cosec A + cot A)( cosec A – cot A) is​

Answer 1

Step-by-step explanation:

cosecA.cosecA-cotA.cotA

=1

Answer 2

SOLUTION

TO DETERMINE

(cosec A + cot A)( cosec A – cot A)

FORMULA TO BE IMPLEMENTED

We are aware of the formula

1. a² - b² = ( a + b ) ( a - b )

2. cosec² A – cot² A = 1

EVALUATION

Here the given expression is

(cosec A + cot A)( cosec A – cot A)

We simplify it as below

(cosec A + cot A)( cosec A – cot A)

= cosec² A – cot² A

= 1

FINAL ANSWER

(cosec A + cot A)( cosec A – cot A) = 1

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