What is the general solution for tan(x)-3=0 ?

The general solution for tan(x)-3=0 is x=1.24904…+pin

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tan(x)-3=0

tan (x) - 3 = 0

x = 1.24904 \dots + πn

Degrees

x = 71.56505 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) - 3 = 0

Move

3

to the right side

tan (x) - 3 = 0

Add

3

to both sides

tan (x) - 3 + 3 = 0 + 3

Simplify

tan (x) = 3

tan (x) = 3

Apply trig inverse properties

tan (x) = 3

General solutions for

tan (x) = 3

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

x = arctan (3) + πn

x = arctan (3) + πn

Show solutions in decimal form

x = 1.24904 \dots + πn

x, 2 sin^{2} (x) - sin (x) - 1 = 0

- 21 tan (x) + 33 = - 3 (3 + tan (x))

tan (y) = - 1

2 π + 6 arccos (2 - x) = 0

tan (x) = \frac{12}{4}

What is the general solution for tan(x)-3=0 ?
The general solution for tan(x)-3=0 is x=1.24904…+pin