What is the general solution for tan(x)= 5/13 ?

The general solution for tan(x)= 5/13 is x=0.36717…+pin

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tan(x)= 5/13

tan (x) = \frac{5}{13}

x = 0.36717 \dots + πn

Degrees

x = 21.03751 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{5}{13}

Apply trig inverse properties

tan (x) = \frac{5}{13}

General solutions for

tan (x) = \frac{5}{13}

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

x = arctan (\frac{5}{13}) + πn

x = arctan (\frac{5}{13}) + πn

Show solutions in decimal form

x = 0.36717 \dots + πn

2 sec (θ) - 7 = 0

tan (x) = 23

- 4 sin (2 x) - 4 cos (x) = 0

2 sin^{2} (4 x) - 2 cos (4 x) = 1, o^{\circ} \leq x \leq 36 0^{\circ}

sin (x) - 3 = 0

What is the general solution for tan(x)= 5/13 ?
The general solution for tan(x)= 5/13 is x=0.36717…+pin