What is the general solution for tan(x)= 7/25 ?

The general solution for tan(x)= 7/25 is x=0.27300…+pin

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tan(x)= 7/25

tan (x) = \frac{7}{25}

x = 0.27300 \dots + πn

Degrees

x = 15.64224 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{7}{25}

Apply trig inverse properties

tan (x) = \frac{7}{25}

General solutions for

tan (x) = \frac{7}{25}

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

x = arctan (\frac{7}{25}) + πn

x = arctan (\frac{7}{25}) + πn

Show solutions in decimal form

x = 0.27300 \dots + πn

tan (x) = - 1, 0 < x < 2 π

sec^{2} (x) - 2 = tan^{2} (x), 0 \leq x \leq 2 π

sin (\frac{1}{2} x) = - \frac{1}{2}

4 cos (x) - 3 cos (x) - 1 = 0

3 sin (6 0^{\circ} - \frac{3 x}{4}) = 5 sin (\frac{3 x}{4} - 3 0^{\circ})

What is the general solution for tan(x)= 7/25 ?
The general solution for tan(x)= 7/25 is x=0.27300…+pin