What is the general solution for tan(x)=3.5 ?

The general solution for tan(x)=3.5 is x=1.29249…+pin

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tan(x)=3.5

tan (x) = 3.5

x = 1.29249 \dots + πn

Solution steps

tan (x) = 3.5

Apply trig inverse properties

x = arctan (3.5) + πn

Show solutions in decimal form

x = 1.29249 \dots + πn

sec (θ) = \frac{1}{sec ( θ )}

- 2 tan (θ) + 1 = 3 tan (θ) - 7

5 cos (x) + 2 = 3 cos (x)

- 2 sin^{2} (θ) + 10 sin (θ) - 3 = 3 sin (θ)

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

What is the general solution for tan(x)=3.5 ?
The general solution for tan(x)=3.5 is x=1.29249…+pin