skw00023
Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

let pheta be an acute angle. if cos2pheta+cos^2pheta=1, then cospheta=

2/3
1
√6/3
√2/3​

Sagot :

The required value of  value of cospheta = √2/3​, here correct option is d) √2/3​.

The given equation is a Trignomatric Equation,
cos2pheta+cos^2pheta = 1

What are trigonometric equations?

These are the equation which contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.



cos2pheta + cos^2pheta = 1
Now we know that,

[tex]cos2x[/tex] = [tex]cos^2x -1[/tex]

so, substituting  cos2pheta = 2cos^2pheta - 1
2cos^2pheta-1 + cos^2peta = 1
3cos^2peta = 2
cos^2pheta = 2/3
cospheta = √2/3​

Thus, the required value for the cospheta = √2/3​.

Learn more about trigonometry equations here:
https://brainly.com/question/22624805

#SPJ1

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.