Solve for x and show fundamental/general solutions: Tan 4x = -3/3Show complete solution and explain the answer.

Asked on by spock2

1 Answer | Add Yours

sciencesolve's profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

You need to solve for x the equation `tan 4x = -3/3 =gt tan 4x = -1` .

You need to use inverse trigonometric functions to solve this equation such that:

`4x = tan^(-1) (-1) + n*pi`

`4x = -pi/4 + n*pi`

You need to find x only, hence you need to divide by 4 both sides such that:

`x = -pi/16 + n*pi/4`

Hence, the general solution to trigonometric equation is `x = -pi/16 + n*pi/4.`

We’ve answered 319,808 questions. We can answer yours, too.

Ask a question