SOLUTION: Use an identity to write the expression as a single trigonometric function. {{{sqrt((1+cos(14^"o"))/2)}}}

Algebra ->  Trigonometry-basics -> SOLUTION: Use an identity to write the expression as a single trigonometric function. {{{sqrt((1+cos(14^"o"))/2)}}}       Log On


   

Question 1139162: Use an identity to write the expression as a single trigonometric function.
sqrt%28%281%2Bcos%2814%5E%22o%22%29%29%2F2%29
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28%281%2Bcos%2814%5E%22o%22%29%29%2F2%29

That looks like the right side of the identity:

cos%28alpha%2F2%29=%22%22%2B-sqrt%28+%281%2Bcos%28alpha%29%29%2F2%29

So we substitute 14° for a using the + sign:

cos%2814%5E%22o%22%2F2%29=sqrt%28+%281%2Bcos%2814%5E%22o%22%29%29%2F2%29

cos%287%5E%22o%22%29=sqrt%28+%281%2Bcos%2814%5E%22o%22%29%29%2F2%29

Answer: cos%287%5E%22o%22%29

Edwin