Question

Evaluate 1/sec^2A + 1/cosec^2A​

Answer 1

Step-by-step explanation:

1 / Sec²A + 1 / Cosec²A

( 1 / Sec A )² + ( 1 / Cosec A )²

Cos²A + Sin²A [ :. Cos²A + Sin²A = 1 ]

→ 1

Answer 2

Given:

1/sec²A + 1/cosec²A​

To Find:

Value of expression.

Solution:

As given,

1/sec²A + 1/cosec²A​

[ as,  1/secA = cos A and 1/cosecA = sin A ]

so,

⇒ 1/sec²A + 1/cosec²A​

can be written as,

⇒ cos²A + sin²A

{as cos²A + sin²A  = 1} according to trignometric formula

⇒ 1

Hence, 1/sec²A + 1/cosec²A​ is equal to 1.