What is the general solution for 4tan(θ)-1=0 ?

The general solution for 4tan(θ)-1=0 is θ=0.24497…+pin

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4tan(θ)-1=0

4 tan (θ) - 1 = 0

θ = 0.24497 \dots + πn

Solution steps

4 tan (θ) - 1 = 0

Move

1

to the right side

4 tan (θ) = 1

Divide both sides by

4

tan (θ) = \frac{1}{4}

Apply trig inverse properties

θ = arctan (\frac{1}{4}) + πn

Show solutions in decimal form

θ = 0.24497 \dots + πn

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

8 sin (x) = cos (x) - 6

27 sin (t) cos (t) = - 3 sin (t)

sin (5 x) - sin (x) + 3 cos (3 x) = 0

6 cos (2 x) = 3 + 5 sin^{2} (2 x)

What is the general solution for 4tan(θ)-1=0 ?
The general solution for 4tan(θ)-1=0 is θ=0.24497…+pin