What is the general solution for tan(x)=(3sqrt(3))/5 ?

The general solution for tan(x)=(3sqrt(3))/5 is x=0.80463…+pin

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tan(x)=(3sqrt(3))/5

tan (x) = \frac{3 3}{5}

x = 0.80463 \dots + πn

Degrees

x = 46.10211 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{3 3}{5}

Apply trig inverse properties

tan (x) = \frac{3 3}{5}

General solutions for

tan (x) = \frac{3 3}{5}

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

x = arctan (\frac{3 3}{5}) + πn

x = arctan (\frac{3 3}{5}) + πn

Show solutions in decimal form

x = 0.80463 \dots + πn

tan (x) + 1 = - \frac{1}{3} - \frac{1}{3} cot (x)

6 cos^{2} (x) + 7 cos (x) + 2 = 0

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

sin (x) - 4 = cos (x) - 4

cos (9 x + 15) = sin (7 x - 5)

What is the general solution for tan(x)=(3sqrt(3))/5 ?
The general solution for tan(x)=(3sqrt(3))/5 is x=0.80463…+pin