Express cot theta in terms of secant theta
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Secondary School
Math
6+3 pts
Express sec theta in terms of cot theta
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Answer:
❤️❤️sec\theta =\frac{\sqrt{(cot^{2}\theta+1)}}{cot\theta}
Explanation:
_________________________
We know the Trigonometric identity:
Sec²A = 1+tan²A
_________________________
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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