What is the general solution for tan(x)=2sqrt(3) ?

The general solution for tan(x)=2sqrt(3) is x=1.28976…+pin

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tan(x)=2sqrt(3)

tan (x) = 23

x = 1.28976 \dots + πn

Degrees

x = 73.89788 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = 23

Apply trig inverse properties

tan (x) = 23

General solutions for

tan (x) = 23

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

x = arctan (23) + πn

x = arctan (23) + πn

Show solutions in decimal form

x = 1.28976 \dots + πn

- 4 sin (2 x) - 4 cos (x) = 0

2 sin^{2} (4 x) - 2 cos (4 x) = 1, o^{\circ} \leq x \leq 36 0^{\circ}

sin (x) - 3 = 0

23 + 4 cos (θ) = 0

2 cos (x) = 1, 0 \leq x < 2 π

What is the general solution for tan(x)=2sqrt(3) ?
The general solution for tan(x)=2sqrt(3) is x=1.28976…+pin