What is the general solution for tan(x)= 9/12 ?

The general solution for tan(x)= 9/12 is x=0.64350…+pin

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tan(x)= 9/12

tan (x) = \frac{9}{12}

x = 0.64350 \dots + πn

Degrees

x = 36.86989 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{9}{12}

Cancel the common factor:

3

tan (x) = \frac{3}{4}

Apply trig inverse properties

tan (x) = \frac{3}{4}

General solutions for

tan (x) = \frac{3}{4}

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

x = arctan (\frac{3}{4}) + πn

x = arctan (\frac{3}{4}) + πn

Show solutions in decimal form

x = 0.64350 \dots + πn

cos (x) = \frac{24}{25}

2 (tan (θ) + 3) = 5 + tan (θ), 0 \leq θ < 2 π

3 cos (3 θ) = 2 cos (θ)

\frac{1 - csc ( θ )}{cot ( θ )} = tan (θ) - csc (θ)

2 sin (a) - 1 = 0

What is the general solution for tan(x)= 9/12 ?
The general solution for tan(x)= 9/12 is x=0.64350…+pin