What is the general solution for tan(x)= 12/14 ?

The general solution for tan(x)= 12/14 is x=0.70862…+pin

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tan(x)= 12/14

tan (x) = \frac{12}{14}

x = 0.70862 \dots + πn

Degrees

x = 40.60129 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{12}{14}

Cancel the common factor:

2

tan (x) = \frac{6}{7}

Apply trig inverse properties

tan (x) = \frac{6}{7}

General solutions for

tan (x) = \frac{6}{7}

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

x = arctan (\frac{6}{7}) + πn

x = arctan (\frac{6}{7}) + πn

Show solutions in decimal form

x = 0.70862 \dots + πn

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

tan (x) = - 7

sin^{2} (x) - 2 sin (x) - 1 = 0

tan (θ) = 2 sin (θ) tan (θ)

2 sin^{2} (t) + sin (t) - 1 = 0

What is the general solution for tan(x)= 12/14 ?
The general solution for tan(x)= 12/14 is x=0.70862…+pin