What is the general solution for tan(x)=22 ?

The general solution for tan(x)=22 is x=1.52537…+pin

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tan(x)=22

tan (x) = 22

x = 1.52537 \dots + πn

Degrees

x = 87.39743 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = 22

Apply trig inverse properties

tan (x) = 22

General solutions for

tan (x) = 22

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

x = arctan (22) + πn

x = arctan (22) + πn

Show solutions in decimal form

x = 1.52537 \dots + πn

cos (A - 2 5^{\circ}) + cos (A + 2 5^{\circ}) = cos (2 5^{\circ})

tan^{2} (θ) - tan (θ) = 0, θ, 0 \leq θ < 2 π

cos (4 x) - 4 cos (2 x) = 5

sin (x) = sin (x + (- 3) π)

sin (2 x) - \frac{2}{3} = 0

What is the general solution for tan(x)=22 ?
The general solution for tan(x)=22 is x=1.52537…+pin