Question

(sec^2 teta -1) (cosec^2 teta -1) ​

Answer 1

(sec²theta - 1)(cosec²theta - 1)

(-tan²theta)(-cot²theta)

(-1/cot²theta)(-cot²theta)

(-cot²theta/-cot²theta)

= 1

Answer 2

Answer:

$({sec}^{2} theta - 1)( {cosec}^{2} theta - 1) \\ = ( {tan}^{2} theta)( {cot}^{2} theta) \\= ( { \tan}^{2} theta) \times 1 \div {tan}^{2} theta \\ = 1$

Therefore, Answer is 1

Hope it helps.