What is the general solution for tan(x)-4=-1 ?

The general solution for tan(x)-4=-1 is x=1.24904…+pin

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tan(x)-4=-1

tan (x) - 4 = - 1

x = 1.24904 \dots + πn

Degrees

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

Solution steps

tan (x) - 4 = - 1

Move

4

to the right side

tan (x) - 4 = - 1

Add

4

to both sides

tan (x) - 4 + 4 = - 1 + 4

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

4 cos^{2} (x) - 8 cos (x) + 3 = 0

sin (2 x) = - 0.6

\frac{11}{sin ( 9 0 ^{\circ} )} = \frac{10}{sin ( x )}

2 sec^{2} (x) + 4 tan (x) = 1

8 sin (\frac{3.14}{4 \cdot x}) = 7

What is the general solution for tan(x)-4=-1 ?
The general solution for tan(x)-4=-1 is x=1.24904…+pin