What is the general solution for tan(x)= 25/10 ?

The general solution for tan(x)= 25/10 is x=1.19028…+pin

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tan(x)= 25/10

tan (x) = \frac{25}{10}

x = 1.19028 \dots + πn

Degrees

x = 68.19859 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{25}{10}

Cancel the common factor:

5

tan (x) = \frac{5}{2}

Apply trig inverse properties

tan (x) = \frac{5}{2}

General solutions for

tan (x) = \frac{5}{2}

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

x = arctan (\frac{5}{2}) + πn

x = arctan (\frac{5}{2}) + πn

Show solutions in decimal form

x = 1.19028 \dots + πn

sin (x) - 1 = 0, 0 \leq x < 2 π

3 cos (θ) = 2 cos (θ)

\frac{26.4575}{sin ( 6 0 ^{\circ} )} = \frac{20}{sin ( B )}

sin (\frac{5}{2} θ) = - 0.966

sin^{2} (x) - \frac{2}{3} = 0

What is the general solution for tan(x)= 25/10 ?
The general solution for tan(x)= 25/10 is x=1.19028…+pin