What is the general solution for 3tan(x)=2.4568 ?

The general solution for 3tan(x)=2.4568 is x=0.68617…+pin

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3tan(x)=2.4568

3 tan (x) = 2.4568

x = 0.68617 \dots + πn

Degrees

x = 39.31518 \dots^{\circ} + 18 0^{\circ} n

Solution steps

3 tan (x) = 2.4568

Divide both sides by

3

3 tan (x) = 2.4568

Divide both sides by

3

\frac{3 tan ( x )}{3} = \frac{2.4568}{3}

Simplify

tan (x) = \frac{2.4568}{3}

tan (x) = \frac{2.4568}{3}

Apply trig inverse properties

tan (x) = \frac{2.4568}{3}

General solutions for

tan (x) = \frac{2.4568}{3}

tan (x) = a \Rightarrow x = arctan (a) + πn

x = arctan (\frac{2.4568}{3}) + πn

x = arctan (\frac{2.4568}{3}) + πn

Show solutions in decimal form

x = 0.68617 \dots + πn

cos (x) = 1.5

\frac{2}{3} cos (3 θ) = 1, 0 \leq θ \leq 2 π

8 cos (B) + 52 = 0

sec (\frac{x}{2}) = 2

sin (5 x) = \frac{3}{2}

What is the general solution for 3tan(x)=2.4568 ?
The general solution for 3tan(x)=2.4568 is x=0.68617…+pin