What is the general solution for tan(θ)= 15/6 ?

The general solution for tan(θ)= 15/6 is θ=1.19028…+pin

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tan(θ)= 15/6

tan (θ) = \frac{15}{6}

θ = 1.19028 \dots + πn

Degrees

θ = 68.19859 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{15}{6}

Cancel the common factor:

3

tan (θ) = \frac{5}{2}

Apply trig inverse properties

tan (θ) = \frac{5}{2}

General solutions for

tan (θ) = \frac{5}{2}

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

θ = arctan (\frac{5}{2}) + πn

θ = arctan (\frac{5}{2}) + πn

Show solutions in decimal form

θ = 1.19028 \dots + πn

- cos (2 x) = cos^{2} (x) - sin^{2} (x)

tan (θ) = \frac{15}{9}

sin (θ) = - 0.7659

4 cos (x) = - 2

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

What is the general solution for tan(θ)= 15/6 ?
The general solution for tan(θ)= 15/6 is θ=1.19028…+pin