What is the general solution for tan(x)= 1/4 ?

The general solution for tan(x)= 1/4 is x=0.24497…+pin

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tan(x)= 1/4

tan (x) = \frac{1}{4}

x = 0.24497 \dots + πn

Degrees

x = 14.03624 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{1}{4}

Apply trig inverse properties

tan (x) = \frac{1}{4}

General solutions for

tan (x) = \frac{1}{4}

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

x = arctan (\frac{1}{4}) + πn

x = arctan (\frac{1}{4}) + πn

Show solutions in decimal form

x = 0.24497 \dots + πn

cos^{2} (θ) - sin^{2} (θ) + sin (θ) = 0

3 tan (2 x) + 1 = 0

sin (x) = \frac{2}{π}

sin (2 x) cos (x) + cos (2 x) sin (x) = \frac{2}{2}

sin (2 x) = 3 sin (x)

What is the general solution for tan(x)= 1/4 ?
The general solution for tan(x)= 1/4 is x=0.24497…+pin