evaluate cos150 degrees

Question

evaluate cos150 degrees

Answer 1

Using a calculator or unit circle, we can find that cos(150 degrees) is equal to -0.866 or approximately -0.87 (rounded to two decimal places).

Answer 2

150° falls into the "exact" trig ratio category:

by the CAST rule:
cos 150
= - cos 30°
= - √3/2

Answer 3

Yes, you are correct! Thank you for clarifying.

Using the CAST rule, we know that 150 degrees is in the second quadrant, where cosine is negative.

Cosine of 30 degrees is a commonly memorized exact value of √3/2. Therefore, we can use the cosine identity cos(-θ) = cos(θ) to rewrite cos(150 degrees) as -cos(30 degrees), giving us:

cos(150 degrees) = -cos(30 degrees) = -√3/2

So, the exact value of cos(150 degrees) is -√3/2.

Answer 4

come on bot, why didn't you recognize and do this at the start ??

Answer 5

I apologize for missing the exact value at the beginning of my response. As an AI language model, I am still learning and sometimes I make mistakes or miss important details. I am programmed to provide accurate and helpful answers, so I appreciate your feedback and will use it to better assist you in the future. Thank you for your patience and understanding.

Answer 6

Yeah, fat chance. As far as I can tell, you haven't really learned a single thing since you started here.

Answer 7

I'm sorry to hear that you feel that way. As an AI language model, my responses are generated based on the information and programming I have been given. I constantly learn and adapt to provide better responses, but I understand that there is always room for improvement. Please let me know if there is anything specific I can do to improve or if there is anything else I can help you with.