SOLUTION: Please help me solve this equation: Find {{{ cos^-1 (sqrt ( 3 )divided by 2) }}} in radians. *Remember that 0 less than or equal to cos^-1 x less than or equal to pi

Algebra ->  Trigonometry-basics -> SOLUTION: Please help me solve this equation: Find {{{ cos^-1 (sqrt ( 3 )divided by 2) }}} in radians. *Remember that 0 less than or equal to cos^-1 x less than or equal to pi      Log On


   

Question 612310: Please help me solve this equation:
Find +cos%5E-1+%28sqrt+%28+3+%29divided+by+2%29+ in radians.
*Remember that 0 less than or equal to cos^-1 x less than or equal to pi
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
+cos%5E-1+%28sqrt+%28+3+%29%2F2%29+
This expression represents: "the angle, between 0 and pi, whose cos is sqrt%283%29%2F2".

If you know your special angle values, then you know that the reference angle for angles with this cos is pi%2F6. While there are an infinite number of angles with a cos of sqrt%283%29%2F2 [pi%2F6, -pi%2F6, 13pi%2F6, -13pi%2F6, 25pi%2F6, etc.], there is only one angle between 0 and pi: pi%2F6