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.

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.
-------------
Using degrees,
3x = 45 degs, 225 degs
x = 15, 75 degs
--------------
= 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
----
Next:
3x = (3/2)pi
x = pi/2
======================
Cheers,
Stan H.
==============
RELATED QUESTIONS
The smallest positive number for which 4cos^2(x)-9cos(x)+2 = 0 Hint: Solve the... (answered by fcabanski)
The smallest positive number for which 3sin(2x−6)=1 Hint: Proceed as in the preceding (answered by ikleyn)
Please help me solve this word problem: A triangle has side lengths of 7, 24, and 25.... (answered by stanbon,reviewermath)
Use a right triangle to write the expression as an algebraic expression. Assume that x... (answered by jim_thompson5910)
1-Find the exact value of this expression. sin^-1(-1/2) 2-Find the exact value of this (answered by stanbon)
For what positive number(s) is the sum of the number and its reciprocal the smallest? (answered by stanbon)
Use an Addition or Subtraction Formula to write the expression as a trigonometric... (answered by lwsshak3)
Here is an example of a Trig function we are working on that I HAVE been able to solve, I (answered by Alan3354)
Could you please help me with the following problem, Use a right triangle to write the... (answered by ikleyn)