What is the general solution for tan(x)= 5/20 ?

The general solution for tan(x)= 5/20 is x=0.24497…+pin

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tan(x)= 5/20

tan (x) = \frac{5}{20}

x = 0.24497 \dots + πn

Degrees

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

Solution steps

tan (x) = \frac{5}{20}

Cancel the common factor:

5

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 (x) (1 + 2 sin (x)) = 0

tan (θ) = \frac{6}{5}, π < θ < \frac{3 π}{2}

sin (x) + sin (9 0^{\circ} - x) = sin (9 0^{\circ})

sin (x) - 2 cos (x) cot (x) = csc (x)

sin (2 x) = cos (x - 6 0^{\circ})

What is the general solution for tan(x)= 5/20 ?
The general solution for tan(x)= 5/20 is x=0.24497…+pin