Question

Tan(x)= 3/4 ,find value of x

Answer 1

Answer:

hey mate

answer = x  = 0.6435011

Explanation:

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Answer 2

Explanation:

Take the inverse tangent of both sides of the equation to extract x from inside the tangent

x= arctan (3/4)

Evaluate arctan

(34).x=0.6435011

The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from π

to find the solution in the fourth quadrant.x=(3.14159265)+0.6435011

Simplify the expression to find the second solution.

x =3.78509376

π

The period of the tan(x)

function is π

so values will repeat every π

radians in both directions.x=0.6435011πn

,

3.78509376+πn

, for any integer n

Consolidate the answers.

x=0.6435011+πn, for any integer n