What is the general solution for tan(x)=7 ?

The general solution for tan(x)=7 is x=1.42889…+pin

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tan(x)=7

tan (x) = 7

x = 1.42889 \dots + πn

Degrees

x = 81.86989 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = 7

Apply trig inverse properties

tan (x) = 7

General solutions for

tan (x) = 7

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

x = arctan (7) + πn

x = arctan (7) + πn

Show solutions in decimal form

x = 1.42889 \dots + πn

cot (x) (tan (x) - 3) = 0

cos^{2} (x) - 2 cos (x) + 1 = 0

(cos (θ) + sin (θ))^{2} = \frac{3}{2}

- 2 sin^{2} (θ) + 1 = cos (θ)

x, sin (x y) = y

What is the general solution for tan(x)=7 ?
The general solution for tan(x)=7 is x=1.42889…+pin