What is the general solution for tan(x)= 8/15 ?

The general solution for tan(x)= 8/15 is x=0.48995…+pin

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tan(x)= 8/15

tan (x) = \frac{8}{15}

x = 0.48995 \dots + πn

Degrees

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

Solution steps

tan (x) = \frac{8}{15}

Apply trig inverse properties

tan (x) = \frac{8}{15}

General solutions for

tan (x) = \frac{8}{15}

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

x = arctan (\frac{8}{15}) + πn

x = arctan (\frac{8}{15}) + πn

Show solutions in decimal form

x = 0.48995 \dots + πn

sin (θ) = - \frac{12}{13}

sin (x) cos (x) = - \frac{1}{4}

sec^{2} (θ) - 9 = 0

2 cos^{2} (θ) = 2 - sin (θ)

cos (x + 1) = 0

What is the general solution for tan(x)= 8/15 ?
The general solution for tan(x)= 8/15 is x=0.48995…+pin