What is the general solution for tan(φ)=3 ?

The general solution for tan(φ)=3 is φ=1.24904…+pin

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tan(φ)=3

tan (φ) = 3

φ = 1.24904 \dots + πn

Degrees

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

Solution steps

tan (φ) = 3

Apply trig inverse properties

tan (φ) = 3

General solutions for

tan (φ) = 3

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

φ = arctan (3) + πn

φ = arctan (3) + πn

Show solutions in decimal form

φ = 1.24904 \dots + πn

tan (φ) = 1

sin (x) = \frac{1}{2}, 0 \leq x \leq 2 π

2 7^{2} = 5 6^{2} + 3 5^{2} - (2 \cdot 56 \cdot 35 \cdot cos (x))

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

cos (x - \frac{2 π}{3}) = \frac{1}{2}

What is the general solution for tan(φ)=3 ?
The general solution for tan(φ)=3 is φ=1.24904…+pin