What is the general solution for tan(θ)= 48/90 ?

The general solution for tan(θ)= 48/90 is θ=0.48995…+pin

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tan(θ)= 48/90

tan (θ) = \frac{48}{90}

θ = 0.48995 \dots + πn

Degrees

θ = 28.07248 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{48}{90}

Cancel the common factor:

6

tan (θ) = \frac{8}{15}

Apply trig inverse properties

tan (θ) = \frac{8}{15}

General solutions for

tan (θ) = \frac{8}{15}

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

θ = arctan (\frac{8}{15}) + πn

θ = arctan (\frac{8}{15}) + πn

Show solutions in decimal form

θ = 0.48995 \dots + πn

cos (θ) - 1 = 2 cos^{2} (θ) - 1

6 sin^{2} (θ) = 3

6 sin^{2} (θ) = 2

10 tan (θ) + 9 = 0

189.4 = 100 tan^{2} (4 5^{\circ} - \frac{x}{2})

What is the general solution for tan(θ)= 48/90 ?
The general solution for tan(θ)= 48/90 is θ=0.48995…+pin