Question

(Sec²thetha - 1)into cot²thetha =1 prove it

Answer 1

$( {sec}^{2} \theta - 1) {cot}^{2} \theta$

${tan}^{2} \theta . {cot}^{2} \theta$

${tan}^{2} \theta \times \frac{1}{ {tan}^{2} \theta}$

$1$

predefined results used above

$1 + {tan}^{2} \theta = {sec}^{2} \theta$

and

${cot}^{2} \theta = \frac{1}{ {tan}^{2} \theta }$

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Answer 2

Answer:

( Sec² θ- 1 ) × cot² θ

= tan² θ × cot² θ

= tan² θ × ( 1/ tan² θ)

= 1

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