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Trig Inequality?
cos(3x-(pi/3)) less than or equal to 1/2
thinking to go with the subtraction formula but not sure
1 Answer
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- 6 years ago
Ask when cos(t) </= 1/2 first
pi/3 + 2pi * k </= t </= 5pi/3 + 2pi * k
t = 3x - pi/3
pi/3 + 2pi * k </= 3x - pi/3 </= 5pi/3 + 2pi * k
2pi/3 + 2pi * k </= 3x </= 6pi/3 + 2pi * k
2pi/9 + (2pi/3) * k </= x </= 2pi + (2pi/3) * k
k is an integer
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