What is the general solution for 5+tan(x)=4 ?

The general solution for 5+tan(x)=4 is x=(3pi)/4+pin

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5+tan(x)=4

5 + tan (x) = 4

x = \frac{3 π}{4} + πn

Degrees

x = 13 5^{\circ} + 18 0^{\circ} n

Solution steps

5 + tan (x) = 4

Move

5

to the right side

5 + tan (x) = 4

Subtract

5

from both sides

5 + tan (x) - 5 = 4 - 5

Simplify

tan (x) = - 1

tan (x) = - 1

General solutions for

tan (x) = - 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}

x = \frac{3 π}{4} + πn

x = \frac{3 π}{4} + πn

sin^{2} (x) - 6 sin (x) = 0

cos (a) = \frac{3}{3}

3 csc^{2} (x) - 2 csc (x) - 5 = 0

cos (2 x - 1) = 0.4

cos (3 x) cos (x) = 2 cos (2 x) cos (x)

What is the general solution for 5+tan(x)=4 ?
The general solution for 5+tan(x)=4 is x=(3pi)/4+pin