What is the general solution for tan(x)=0,5 ?

The general solution for tan(x)=0,5 is No Solution for x\in\mathbb{R}

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tan(x)=0,5

tan (x) = 0, 5

No Solution for x \in R

Solution steps

tan (x) = 0, 5

General solutions for

tan (x) = 0

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

x = 0 + πn

x = 0 + πn

Solve

x = 0 + πn : x = πn

x = 0 + πn

0 + πn = πn

x = πn

x = πn

Solutions for the range

5

No Solution for x \in R

2 sec^{2} (x) - 5 sec (x) + 2 = 0, 0^{\circ} \leq x \leq 36 0^{\circ}

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

sin (2 θ) = - \frac{24}{25}

sin (4 x) + cos (4 x) = 1

- 4 cos (x) = - sin^{2} (x) + 4, 0 \leq x \leq 2 π

What is the general solution for tan(x)=0,5 ?
The general solution for tan(x)=0,5 is No Solution for x\in\mathbb{R}