SOLUTION: The smallest positive number and the next larger number for which tan(3x) = 1. Hint: Apply an inverse trig function and use the periodicity of the tan function.

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Question 544836: The smallest positive number and the next larger number for which
tan(3x) = 1.
Hint: Apply an inverse trig function and use the periodicity of the tan function.
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
The smallest positive number and the next larger number for which
tan(3x) = 1.
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Using degrees,
3x = 45 degs, 225 degs
x = 15, 75 degs
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= pi/12, 5pi/12 radians

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
The smallest positive number and the next larger number for which
tan(3x) = 1.
Hint: Apply an inverse trig function and use the periodicity of the tan function.
---
3x = (pi/2)
x = pi/6
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Next:
3x = (3/2)pi
x = pi/2
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Cheers,
Stan H.
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