What is the general solution for tan(x)= 5/2 ?

The general solution for tan(x)= 5/2 is x=1.19028…+pin

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tan(x)= 5/2

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

x = 1.19028 \dots + πn

Degrees

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

Solution steps

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

4 sin (x) cos (x) = 3

3 sin (x) + 4 cos (x) = 2

cot^{2} (x) - 6 cot (x) + 5 = 0, 0 \leq x \leq 2 π

9 tan (θ) + 13 = 2 tan (θ) + 6

2 = 3 sin (∣ 5 x ∣) + 1

What is the general solution for tan(x)= 5/2 ?
The general solution for tan(x)= 5/2 is x=1.19028…+pin