SOLUTION: Find the exact value for Cos θ given that Sin θ= 5/7 I have this question in my book and I must not be setting it up right because I thought the answer was sqrt(74)/7,

Algebra ->  Trigonometry-basics -> SOLUTION: Find the exact value for Cos θ given that Sin θ= 5/7 I have this question in my book and I must not be setting it up right because I thought the answer was sqrt(74)/7,      Log On


   



Question 606055: Find the exact value for Cos θ given that Sin θ= 5/7
I have this question in my book and I must not be setting it up right because I thought the answer was sqrt(74)/7, then I tried again and got the answer 24/7 and yet that still was incorrect. I cant seem to understand how to get the answer to this problem

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the exact value for Cos θ given that Sin θ= 5/7
you are given:
opposite side=5
hypotenuse=7
By pythagorean theorem, adjacent side=√(7^2-5^2)=√(49-25)=√24
cos θ=√24/7