What is the general solution for tan(x)=(25.644)/(106.372) ?

The general solution for tan(x)=(25.644)/(106.372) is x=0.23656…+pin

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tan(x)=(25.644)/(106.372)

tan (x) = \frac{25.644}{106.372}

x = 0.23656 \dots + πn

Degrees

x = 13.55414 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{25.644}{106.372}

Apply trig inverse properties

tan (x) = \frac{25.644}{106.372}

General solutions for

tan (x) = \frac{25.644}{106.372}

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

x = arctan (\frac{25.644}{106.372}) + πn

x = arctan (\frac{25.644}{106.372}) + πn

Show solutions in decimal form

x = 0.23656 \dots + πn

sin^{2} (θ) - 7 sin (θ) = 0

- 1 = 2 cos (2 θ)

tan (x) = \frac{10}{12}

0.666 = sin (x)

2 \cdot cos^{2} (x) - sin^{2} (x) + 1 = 0

What is the general solution for tan(x)=(25.644)/(106.372) ?
The general solution for tan(x)=(25.644)/(106.372) is x=0.23656…+pin