What is the general solution for tan(x)=-1,7 ?

The general solution for tan(x)=-1,7 is No Solution for x\in\mathbb{R}

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tan(x)=-1,7

tan (x) = - 1, 7

No Solution for x \in R

Solution steps

tan (x) = - 1, 7

General solutions for

tan (x) = - 1

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 = \frac{3 π}{4} + πn

x = \frac{3 π}{4} + πn

Solutions for the range

7

No Solution for x \in R

tan (θ) (3 cos^{2} (θ) - sin^{2} (θ)) = 0

sin^{3} (x) = cos^{2} (x)

sin (θ) = 2 cos (θ)

2 cos^{2} (w) + 5 cos (w) + 3 = 0

tan (x) = - 135

What is the general solution for tan(x)=-1,7 ?
The general solution for tan(x)=-1,7 is No Solution for x\in\mathbb{R}