What is the general solution for tan(x)=(4/3) ?

The general solution for tan(x)=(4/3) is x=0.92729…+pin

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tan(x)=(4/3)

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

x = 0.92729 \dots + πn

Degrees

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

Solution steps

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

cos (2 x) - sin^{2} (x) - 1 = 0

x, sin (x) - cos (x) = 0

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

100 + 60 sin (\frac{7 π}{3} x) = 100, 0 \leq x \leq 1

cot (θ) = 4, cos (θ) < 0

What is the general solution for tan(x)=(4/3) ?
The general solution for tan(x)=(4/3) is x=0.92729…+pin