What is the general solution for 6tan(x)=8 ?

The general solution for 6tan(x)=8 is x=0.92729…+pin

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6tan(x)=8

6 tan (x) = 8

x = 0.92729 \dots + πn

Degrees

x = 53.13010 \dots^{\circ} + 18 0^{\circ} n

Solution steps

6 tan (x) = 8

Divide both sides by

6

6 tan (x) = 8

Divide both sides by

6

\frac{6 tan ( x )}{6} = \frac{8}{6}

Simplify

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

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

Apply trig inverse properties

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

General solutions for

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

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

x = arctan (\frac{4}{3}) + πn

x = arctan (\frac{4}{3}) + πn

Show solutions in decimal form

x = 0.92729 \dots + πn

sin (x) cos (x - 6 0^{\circ}) = 0

1 + cos (a) = \frac{2 cos ^{2} ( a )}{2}

cos (x) + cos^{4} (x) = \frac{1}{2}

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

5 sin^{2} (x) - 11 sin (x) + 2 = 0

What is the general solution for 6tan(x)=8 ?
The general solution for 6tan(x)=8 is x=0.92729…+pin