Question

(Sec²theta-1).cot²theta=1

Answer 1

Answer:

1

Step-by-step explanation:

$W.K.T\\\\cos^2\theta+sin^2\theta=1\\\\sec^2\theta-tan^2\theta=1\\\\=>tan^2\theta=sec^2\theta-1.\;.\;.\;.(1)\\\\tan\theta=\frac{1}{cot\theta}.\;.\;.\;.(2)\\\\\\from\;\;(1)\;\;and\;\;\;(2)\\\\(sec^2\theta-1)\times cot^2\theta=1\\\\Step\\\\(sec^2\theta-1)\times cot^2\theta\\\\=tan^2\theta\times cot^2\theta\\\\=\frac{1}{cot^2\theta}\times cot^2\theta\\\\=1$

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