Please help? Solve the equation for exact solutions over the interval ( 0 degrees, 360 degrees)

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1 Answer
Mar 3, 2018
  1. #t = (5pi)/6 + kpi#.
  2. #t = +- (2pi)/3 + 2kpi#

Explanation:

  1. 4tan t - tan t = - sqrt3
    3tan t = -sqrt3
    tan t = - sqr3/3.
    Trig table and unit circle gives as general answers:
    #t = (5pi)/6 + kpi#
  2. 3cos t + 1 = cos t
    2cos t = - 1
    #cos t = - 1/2#
    Trig Table and unit circle give 2 solutions:
    #t = +- (2pi)/3#
    General solutions:
    #t = +- (2pi)/3 + 2kpi#