What is the general solution for tan(x)=(2.5)/2 ?

The general solution for tan(x)=(2.5)/2 is x=0.89605…+pin

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tan(x)=(2.5)/2

tan (x) = \frac{2.5}{2}

x = 0.89605 \dots + πn

Degrees

x = 51.34019 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{2.5}{2}

Apply trig inverse properties

tan (x) = \frac{2.5}{2}

General solutions for

tan (x) = \frac{2.5}{2}

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

x = arctan (\frac{2.5}{2}) + πn

x = arctan (\frac{2.5}{2}) + πn

Show solutions in decimal form

x = 0.89605 \dots + πn

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

5 cos (x) + 2 = 3 cos (x), 0 \leq x \leq 2 π

2 tan (2 x + 10) = - 5.5

sin (t) = sin (2 t)

\frac{3}{2} = cos (x)

What is the general solution for tan(x)=(2.5)/2 ?
The general solution for tan(x)=(2.5)/2 is x=0.89605…+pin