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

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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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.`

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