Question

Find the value of (sec square theta -1).cot square theta

Answer 1

This is your answer, check it

Answer 2

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

$\blue { ( By \: Trigonometric \:Identity )}$

$\boxed { \pink { sec^{2} \theta - 1 = tan^{2} \theta }}$

$= 1 \: [ \blue { tan \theta \times cot \theta = 1 }]$

Therefore.,

$\red{ Value \:of \: (sec^{2} \theta - 1)\times cot^{2} \theta } \green { = 1 }$

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