What is the general solution for solvefor c,1=tan(c) ?

The general solution for solvefor c,1=tan(c) is c= pi/4+pin

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solvefor c,1=tan(c)

solve for

c, 1 = tan (c)

c = \frac{π}{4} + πn

Degrees

c = 4 5^{\circ} + 18 0^{\circ} n

Solution steps

1 = tan (c)

Switch sides

tan (c) = 1

General solutions for

tan (c) = 1

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}

c = \frac{π}{4} + πn

c = \frac{π}{4} + πn

4 cos^{2} (x) + 3 sin^{2} (x) - 4 = - tan^{2} (x)

tan^{2} (x) - 2 = 3 tan (x)

2 tan^{2} (θ) - 2 = 0

2 csc (x) cos (x) = csc (x)

tan^{2} (x) + 5 tan (x) + 2 = 0

What is the general solution for solvefor c,1=tan(c) ?
The general solution for solvefor c,1=tan(c) is c= pi/4+pin