What is the general solution for tan(β)= 1/3 ?

The general solution for tan(β)= 1/3 is β=0.32175…+pin

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tan(β)= 1/3

tan (β) = \frac{1}{3}

β = 0.32175 \dots + πn

Degrees

β = 18.43494 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (β) = \frac{1}{3}

Apply trig inverse properties

tan (β) = \frac{1}{3}

General solutions for

tan (β) = \frac{1}{3}

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

β = arctan (\frac{1}{3}) + πn

β = arctan (\frac{1}{3}) + πn

Show solutions in decimal form

β = 0.32175 \dots + πn

cos (4 \cdot x) = - 1

3 + 2 cos (x) = 4 cos (\frac{x}{2})

- 3 sin (x) = cos (x)

2 csc^{2} (x) = 5 - 5 cot (x)

sin (x + 0.5) = 0.92, 0 \leq x \leq 2 π

What is the general solution for tan(β)= 1/3 ?
The general solution for tan(β)= 1/3 is β=0.32175…+pin