What is the general solution for 5tan(x)=12 ?

The general solution for 5tan(x)=12 is x=1.17600…+pin

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5tan(x)=12

5 tan (x) = 12

x = 1.17600 \dots + πn

Degrees

x = 67.38013 \dots^{\circ} + 18 0^{\circ} n

Solution steps

5 tan (x) = 12

Divide both sides by

5

5 tan (x) = 12

Divide both sides by

5

\frac{5 tan ( x )}{5} = \frac{12}{5}

Simplify

tan (x) = \frac{12}{5}

tan (x) = \frac{12}{5}

Apply trig inverse properties

tan (x) = \frac{12}{5}

General solutions for

tan (x) = \frac{12}{5}

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

x = arctan (\frac{12}{5}) + πn

x = arctan (\frac{12}{5}) + πn

Show solutions in decimal form

x = 1.17600 \dots + πn

cos^{2} (a) + cos (a) = 0

5 tan (x) = - 5

- 2 cos (θ - 1) = 0.5

cos (θ) = \frac{1}{9}

- 33 sin (v) + 3 cos (v) = 32

What is the general solution for 5tan(x)=12 ?
The general solution for 5tan(x)=12 is x=1.17600…+pin