Question

express sec theta in terms of cot theta​

Answer 1

Answer:

❤️❤️sec\theta =\frac{\sqrt{(cot^{2}\theta+1)}}{cot\theta}

Explanation:

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We know the Trigonometric identity:

Sec²A = 1+tan²A

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Now ,

sec\theta

= \sqrt{1+tan^{2}\theta}

= \sqrt{1+\frac{1}{cot^{2}\theta}}

= \sqrt{\frac{(cot^{2}\theta+1)}{cot^{2}\theta}}

= \frac{\sqrt{(cot^{2}\theta+1)}}{cot\theta}

Therefore,

sec\theta =\frac{\sqrt{(cot^{2}\theta+1)}}{cot\theta}❤️❤️

Step-by-step explanation:

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