What is the general solution for tan(x)= 40/9 ?

The general solution for tan(x)= 40/9 is x=1.34948…+pin

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tan(x)= 40/9

tan (x) = \frac{40}{9}

x = 1.34948 \dots + πn

Degrees

x = 77.31961 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{40}{9}

Apply trig inverse properties

tan (x) = \frac{40}{9}

General solutions for

tan (x) = \frac{40}{9}

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

x = arctan (\frac{40}{9}) + πn

x = arctan (\frac{40}{9}) + πn

Show solutions in decimal form

x = 1.34948 \dots + πn

cos (\frac{3 x}{2}) = \frac{1}{2}, - \frac{π}{2} \leq x \leq \frac{π}{2}

2 cos (\frac{π}{2} t) = 3

0 = 3 sin (2 x)

tan (x - π) - 2 sin (x - π) = 0

sin (x) + 3 = 5 sin (x)

What is the general solution for tan(x)= 40/9 ?
The general solution for tan(x)= 40/9 is x=1.34948…+pin