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

The general solution for (tan(x))/3 =sqrt(3) is x=1.38067…+pin

Popular >

(tan(x))/3 =sqrt(3)

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

x = 1.38067 \dots + πn

Degrees

x = 79.10660 \dots^{\circ} + 18 0^{\circ} n

Solution steps

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

Multiply both sides by

3

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

Multiply both sides by

3

\frac{3 tan ( x )}{3} = 33

Simplify

tan (x) = 33

tan (x) = 33

Apply trig inverse properties

tan (x) = 33

General solutions for

tan (x) = 33

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

x = arctan (33) + πn

x = arctan (33) + πn

Show solutions in decimal form

x = 1.38067 \dots + πn

cos (x) = 0.45, cos (π - x)

4 cos^{2} (x) + 9 sin (x) - 9 = 0

tan (θ) = - \frac{12}{5}, \frac{π}{2} \leq θ \leq π

cos (x) = sin (2 x + \frac{π}{2}), 0 \leq x \leq 2 π

cos (x) = - 0.397

What is the general solution for (tan(x))/3 =sqrt(3) ?
The general solution for (tan(x))/3 =sqrt(3) is x=1.38067…+pin