SOLUTION: Find all real numbers that satisfy the equation. cos 2x = {{{ sqrt (3)/2 }}} Could you show the steps required to get the answer? Thank you

Algebra ->  Trigonometry-basics -> SOLUTION: Find all real numbers that satisfy the equation. cos 2x = {{{ sqrt (3)/2 }}} Could you show the steps required to get the answer? Thank you      Log On


   

Question 932749: Find all real numbers that satisfy the equation.
cos 2x = +sqrt+%283%29%2F2+
Could you show the steps required to get the answer?
Thank you
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
cos%282x%29++=sqrt+%283%29%2F2+

arccos%28cos%282x%29%29++=arccos%28sqrt+%283%29%2F2+%29

2x=pi%2F6%2B2%2Api%2An
or
2x=%2811%2Api%29%2F6%2B2%2Api%2An

where n is an integer, then...
x=%2811%2Api%29%2F12%2Bpi%2An


x=pi%2F12%2Bpi%2An