Math, asked by bholaprasad7272, 9 months ago

Express sec θ in terms of cot θ​

Answers

Answered by nkb5
3

Step-by-step explanation:

answer is not fully explained but you will understand that if you had read ncert clearly of tha identities

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Answered by HelperToAll
5

Answer- We know that:

sec²θ​- tan²θ​= 1 (Trigonometric Identity)

sec²θ​- 1/cot²θ​= 1                               ∵ tan θ​= 1/ cot θ​ ⇒ tan²θ​= 1/cot²θ​

sec²θ​= 1+ 1/cot²θ​

sec²θ​= (cot²θ​+1)/cot²θ​

sec θ​= √(cot²+1)/√cot²θ​

∴sec θ​= √(cot²θ​+1)/cot θ​

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