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

The general solution for 5=tan(x) is x=1.37340…+pin

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5=tan(x)

5 = tan (x)

x = 1.37340 \dots + πn

Degrees

x = 78.69006 \dots^{\circ} + 18 0^{\circ} n

Solution steps

5 = tan (x)

Switch sides

tan (x) = 5

Apply trig inverse properties

tan (x) = 5

General solutions for

tan (x) = 5

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

x = arctan (5) + πn

x = arctan (5) + πn

Show solutions in decimal form

x = 1.37340 \dots + πn

cot (x) = 0, 0 \leq x \leq 2 π

tan (α) = - \frac{7}{2}

- sin (θ) - cos (2 θ) = 0

6 cos^{2} (x) + cos (x) = 1, 0^{\circ} \leq x \leq 36 0^{\circ}

tan (y) = \frac{π}{4}

What is the general solution for 5=tan(x) ?
The general solution for 5=tan(x) is x=1.37340…+pin