Question

If tan x =3/4, and 0

Answer 1

Answer: x=0.6435011

Step-by-step explanation:

Take the inverse tangent of both sides of the equation to extract  

x

from inside the tangent.

x

=

arctan

(

3

4

)

Evaluate  

arctan

(

3

4

)

.

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.

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x

=

3.78509376

Find the period.

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π

The period of the  

tan

(

x

)

function is  

π

so values will repeat every  

π

radians in both directions.

x

=

0.6435011

+

π

n

,

3.78509376

+

π

n

, for any integer  

n

Consolidate the answers.

x

=

0.6435011

+

π

n

, for any integer  

n