What is the general solution for tan(θ)= 15/9 ?

The general solution for tan(θ)= 15/9 is θ=1.03037…+pin

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tan(θ)= 15/9

tan (θ) = \frac{15}{9}

θ = 1.03037 \dots + πn

Degrees

θ = 59.03624 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{15}{9}

Cancel the common factor:

3

tan (θ) = \frac{5}{3}

Apply trig inverse properties

tan (θ) = \frac{5}{3}

General solutions for

tan (θ) = \frac{5}{3}

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

θ = arctan (\frac{5}{3}) + πn

θ = arctan (\frac{5}{3}) + πn

Show solutions in decimal form

θ = 1.03037 \dots + πn

sin (θ) = - 0.7659

4 cos (x) = - 2

3 cos^{2} (x) + cos (x) - 4 = 0

sin (θ) = 7

sin (3 x - \frac{π}{2}) = - \frac{3}{2}, (3 π, 4 π)

What is the general solution for tan(θ)= 15/9 ?
The general solution for tan(θ)= 15/9 is θ=1.03037…+pin