Solve #cosx=sqrt3/2# where #0lexle2pi#? How many solutions are possible? In which quadrants would you find the solutions? Determine the related angle to the equation? Determine all the solutions for the equation?

1 Answer
Hriman
Apr 15, 2018

See below

Explanation:

https://sites.google.com/site/joshuaepleyseportfolio/home/trig-with-analytic-geometry

Using the unit circle, determine how many times, the x-coordinate is equal to #sqrt3/2# in a complete period of #2pi# radians

  1. Two solutions
  2. Quadrant 1 and 4
  3. #30°# or #pi/6# radians
  4. #x=pi/6, (11pi)/6#
    General solution:
    #x= pi/6 +2pin#
    # x= (11pi)/6+ 2pin#
    Where n is an element of all integers
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