What is the general solution for tan(x)= 5/9 ?

The general solution for tan(x)= 5/9 is x=0.50709…+pin

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tan(x)= 5/9

tan (x) = \frac{5}{9}

x = 0.50709 \dots + πn

Degrees

x = 29.05460 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{5}{9}

Apply trig inverse properties

tan (x) = \frac{5}{9}

General solutions for

tan (x) = \frac{5}{9}

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

x = arctan (\frac{5}{9}) + πn

x = arctan (\frac{5}{9}) + πn

Show solutions in decimal form

x = 0.50709 \dots + πn

sin^{2} (x) - sin (x) = 5 cos^{2} (x) - 4

3 tan (x) - 9 = 1

5 sec^{2} (x) + tan (x) - 8 = 0

1 = sec (θ)

tan (t) = - \frac{11}{5}, cos (t) > 0, sin (t)

What is the general solution for tan(x)= 5/9 ?
The general solution for tan(x)= 5/9 is x=0.50709…+pin