Question

Simply
Evaluate: (sec sq theta -1)(1-cosec sq theta)​

Answer 1

Step-by-step explanation:

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