What is the general solution for tan(x)= 5/11 ?

The general solution for tan(x)= 5/11 is x=0.42662…+pin

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tan(x)= 5/11

tan (x) = \frac{5}{11}

x = 0.42662 \dots + πn

Degrees

x = 24.44395 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{5}{11}

Apply trig inverse properties

tan (x) = \frac{5}{11}

General solutions for

tan (x) = \frac{5}{11}

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

x = arctan (\frac{5}{11}) + πn

x = arctan (\frac{5}{11}) + πn

Show solutions in decimal form

x = 0.42662 \dots + πn

tan (x) = - 4.8764, π < x < \frac{( 3 π )}{2 , cos ( x )}

- 6 sin (x) + 3 sin (2 x) = 0

- sin (2 θ) - cos (4 θ) = 0, 0 \leq θ \leq 2 π

- 4 cos (2 θ) + 7 cos (θ) + 4 = 9 cos (θ) + 7

8 cos^{2} (x) + 2 sin (x) - 7 = 0

What is the general solution for tan(x)= 5/11 ?
The general solution for tan(x)= 5/11 is x=0.42662…+pin