What is the general solution for tan(x)= 10/12 ?

The general solution for tan(x)= 10/12 is x=0.69473…+pin

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tan(x)= 10/12

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

x = 0.69473 \dots + πn

Degrees

x = 39.80557 \dots^{\circ} + 18 0^{\circ} n

Solution steps

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

Cancel the common factor:

2

tan (x) = \frac{5}{6}

Apply trig inverse properties

tan (x) = \frac{5}{6}

General solutions for

tan (x) = \frac{5}{6}

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

x = arctan (\frac{5}{6}) + πn

x = arctan (\frac{5}{6}) + πn

Show solutions in decimal form

x = 0.69473 \dots + πn

0.666 = sin (x)

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

1 = sinh (x)

15 cos^{2} (θ) + cos (θ) - 2 = 0

sin (θ) = \frac{9}{11}

What is the general solution for tan(x)= 10/12 ?
The general solution for tan(x)= 10/12 is x=0.69473…+pin