Please help? Solve the equation for exact solutions over the interval ( 0 degrees, 360 degrees)
1 Answer
Mar 3, 2018
#t = (5pi)/6 + kpi# .#t = +- (2pi)/3 + 2kpi#
Explanation:
- 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# - 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#