What is the general solution for 5tan(x)=8 ?

The general solution for 5tan(x)=8 is x=1.01219…+pin

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5tan(x)=8

5 tan (x) = 8

x = 1.01219 \dots + πn

Degrees

x = 57.99461 \dots^{\circ} + 18 0^{\circ} n

Solution steps

5 tan (x) = 8

Divide both sides by

5

5 tan (x) = 8

Divide both sides by

5

\frac{5 tan ( x )}{5} = \frac{8}{5}

Simplify

tan (x) = \frac{8}{5}

tan (x) = \frac{8}{5}

Apply trig inverse properties

tan (x) = \frac{8}{5}

General solutions for

tan (x) = \frac{8}{5}

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

x = arctan (\frac{8}{5}) + πn

x = arctan (\frac{8}{5}) + πn

Show solutions in decimal form

x = 1.01219 \dots + πn

3 sin (b) + 3 = 5 sin (b) + 2

8 tan^{2} (θ) + 10 tan (θ) + 10 = 7

3 sec (x) - 23 = 0

2 cos (x) - 3 = - 5

sin (3 θ) - sin (θ) = cos (2 θ)

What is the general solution for 5tan(x)=8 ?
The general solution for 5tan(x)=8 is x=1.01219…+pin