What is the general solution for tan(3x)=2.5 ?

The general solution for tan(3x)=2.5 is x=(1.19028…)/3+(pin)/3

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tan(3x)=2.5

tan (3 x) = 2.5

x = \frac{1.19028 \dots}{3} + \frac{πn}{3}

Degrees

x = 22.73286 \dots^{\circ} + 6 0^{\circ} n

Solution steps

tan (3 x) = 2.5

Apply trig inverse properties

tan (3 x) = 2.5

General solutions for

tan (3 x) = 2.5

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

3 x = arctan (2.5) + πn

3 x = arctan (2.5) + πn

Solve

3 x = arctan (2.5) + πn : x = \frac{arctan ( 2.5 )}{3} + \frac{πn}{3}

3 x = arctan (2.5) + πn

Divide both sides by

3

3 x = arctan (2.5) + πn

Divide both sides by

3

\frac{3 x}{3} = \frac{arctan ( 2.5 )}{3} + \frac{πn}{3}

Simplify

x = \frac{arctan ( 2.5 )}{3} + \frac{πn}{3}

x = \frac{arctan ( 2.5 )}{3} + \frac{πn}{3}

x = \frac{arctan ( 2.5 )}{3} + \frac{πn}{3}

Show solutions in decimal form

x = \frac{1.19028 \dots}{3} + \frac{πn}{3}

sin (θ) = \frac{4}{5}, 0 < θ < \frac{π}{2}, cos (2)

25 (sec^{2} (5 x)) = 0

tan (θ) = (\frac{5}{0})

cos (C) = \frac{5 ^{2} + 4.0 5 ^{2} - 3 ^{2}}{2 \cdot ( 4.05 \cdot 5 )}

- 1 + sin (x) = - 1.3

What is the general solution for tan(3x)=2.5 ?
The general solution for tan(3x)=2.5 is x=(1.19028…)/3+(pin)/3