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

The general solution for tan(-x)=tan(x) is x=pin

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tan(-x)=tan(x)

tan (- x) = tan (x)

x = πn

Degrees

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

Solution steps

tan (- x) = tan (x)

Rewrite using trig identities

tan (- x) = tan (x)

- tan (x) = tan (x)

- tan (x) = tan (x)

Subtract

tan (x)

from both sides

- 2 tan (x) = 0

Divide both sides by

- 2

- 2 tan (x) = 0

Divide both sides by

- 2

\frac{- 2 tan ( x )}{- 2} = \frac{0}{- 2}

Simplify

tan (x) = 0

tan (x) = 0

General solutions for

tan (x) = 0

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

x = 0 + πn

x = 0 + πn

Solve

x = 0 + πn : x = πn

x = 0 + πn

0 + πn = πn

x = πn

x = πn

6 sin (θ) = 6 sin (2 θ)

2 sin (1 5^{\circ}) cos (1 5^{\circ}) = tan (x)

6 sin^{2} (x) + 5 cos (x) = 7

3 cos (x) + sin (x) = - 1

- 3 = tan^{2} (θ) - 2 - 2 tan (θ)

What is the general solution for tan(-x)=tan(x) ?
The general solution for tan(-x)=tan(x) is x=pin