Question

If cos theta is equal to root 3 by 2 then find the value of 1 minus sec theta divided by 1 + cosec theta​

Answer 1

Explanation:

Given If cos theta is equal to root 3 by 2 then find the value of 1 minus sec theta divided by 1 + cosec theta

• Given cos θ = √3 / 2
• So cos^2 θ = 3/4  
• So sin^2 θ = 1 – cos^2 θ
•                 = 1 – 3/4
•                 = 1/4  
• Or sin θ = 1/2  
• Now we can write the above equation as 1 – 1/cos θ / 1 + 1 / sin θ
•                                                                 = 1 – 1 / √3 / 2 / 1 + 1 / 1 / 2  
•                                                                 = 1 – 2 / √3 / 1 + 2
•                                                               = 1 – 2 / √3 / 3
•                                                               = √3 – 2 / 3√3

Reference link will be

https://brainly.in/question/11395069

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