Better Students Ask More Questions.
Explain the solution to tan3x=1.
1 Answer | add yours
tan (3x) = 1
The tangent of an angle is 1 when the angle is 45 degrees (`pi/4` in radians.)
Since the tangent function is periodic with the period of 180 degrees, or `pi` , tangent is 1 for any angle in radians expressed as
`pi/4 + pi*k` , where k is an integer (`k = 0, +-1, +-2...` )
So, tan (3x) = 1 when
`3x = pi/4 + pi*k`
Dividing both sides by 3, obtain
`x = pi/12 +pi/3 *k`
So, the solution to the given equation is
`x = pi/12 + pi/3 * k` , where k is an integer
Posted by ishpiro on May 21, 2013 at 2:03 AM (Answer #1)
Join to answer this question
Join a community of thousands of dedicated teachers and students.