What is the general solution for tan(x)= 7/3 ?

The general solution for tan(x)= 7/3 is x=1.16590…+pin

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tan(x)= 7/3

tan (x) = \frac{7}{3}

x = 1.16590 \dots + πn

Degrees

x = 66.80140 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{7}{3}

Apply trig inverse properties

tan (x) = \frac{7}{3}

General solutions for

tan (x) = \frac{7}{3}

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

x = arctan (\frac{7}{3}) + πn

x = arctan (\frac{7}{3}) + πn

Show solutions in decimal form

x = 1.16590 \dots + πn

3 = 3 cos (2 θ) + sin (2 θ)

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

6 cos (x) + 6 sin (x) = 36

3 sin (x) + 1 = 0

(tan (x) + 1) (cos (x) - 1) = 0

What is the general solution for tan(x)= 7/3 ?
The general solution for tan(x)= 7/3 is x=1.16590…+pin