Homework Help

Solve for x if sin 3x = cos 3x.

danixsaur's profile pic

Posted via web

dislike 0 like

Solve for x if sin 3x = cos 3x.

1 Answer | Add Yours

justaguide's profile pic

Posted (Answer #1)

dislike 0 like

We have to solve sin 3x = cos 3x

First divide both sides by cos 3x

=> sin 3x / cos 3x = cos 3x/ cos 3x

=> tan 3x = 1

=> 3x = arc tan 1

=> 3x = pi/4

=> x = pi/12

Also, we know that the tan function is periodic and values repeat after pi radians.

So, x = pi/12 + n*pi

Therefore x = pi/12 + n*pi.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes