What is the general solution for tan(θ)= 13/9 ?

The general solution for tan(θ)= 13/9 is θ=0.96525…+pin

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tan(θ)= 13/9

tan (θ) = \frac{13}{9}

θ = 0.96525 \dots + πn

Degrees

θ = 55.30484 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{13}{9}

Apply trig inverse properties

tan (θ) = \frac{13}{9}

General solutions for

tan (θ) = \frac{13}{9}

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

θ = arctan (\frac{13}{9}) + πn

θ = arctan (\frac{13}{9}) + πn

Show solutions in decimal form

θ = 0.96525 \dots + πn

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

sin (2 x) = cos (x), 0 \leq x \leq 2 π

2 tan^{2} (x) - 3 sec (x) + 3 = 0

cos (x) = sin (\frac{x}{2})

tan (θ) = 0.5

What is the general solution for tan(θ)= 13/9 ?
The general solution for tan(θ)= 13/9 is θ=0.96525…+pin