SOLUTION: Hi. This is for a summer AP Calculus Assignment. Please help me: {{{ 2cos( x )= sqrt( 3 ) }}} on the interval {{{0 < x < 2pi }}} I subtracted the sqrt3 but I haven't taken Tr

Algebra ->  Trigonometry-basics -> SOLUTION: Hi. This is for a summer AP Calculus Assignment. Please help me: {{{ 2cos( x )= sqrt( 3 ) }}} on the interval {{{0 < x < 2pi }}} I subtracted the sqrt3 but I haven't taken Tr      Log On


   



Question 766208: Hi. This is for a summer AP Calculus Assignment. Please help me:
+2cos%28+x+%29=+sqrt%28+3+%29+ on the interval 0+%3C+x+%3C+2pi+
I subtracted the sqrt3 but I haven't taken Trig in 2 years and I don't know what to do next
Thank you so much!

Found 2 solutions by kmadison, solver91311:
Answer by kmadison(20) About Me  (Show Source):
You can put this solution on YOUR website!
All you need to do is divide by 2 and take x = cos%5E%28-1%29%28sqrt%283%29%2F2%29
which can easily be found using the unit circle.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!



Divide by 2





Look at the unit circle:



The cosine of the angle formed by the -axis and the terminal ray is the -coordinate of the intersection of the terminal ray and the unit circle. Find the two points in the diagram that have -coordinates of . The indicated angles are your two possible values for in your problem.

John

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