What is the general solution for tan(x)=-1,0<= x<= 2pi ?

The general solution for tan(x)=-1,0<= x<= 2pi is x=(3pi)/4 ,x=(7pi)/4

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tan(x)=-1,0<= x<= 2pi

tan (x) = - 1, 0 \leq x \leq 2 π

x = \frac{3 π}{4}, x = \frac{7 π}{4}

Degrees

x = 13 5^{\circ}, x = 31 5^{\circ}

Solution steps

tan (x) = - 1, 0 \leq x \leq 2 π

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

0 \leq x \leq 2 π

x = \frac{3 π}{4}, x = \frac{7 π}{4}

sin (2 x - 10) = \frac{3}{7}

2 cos^{2} (θ) + 3 sin (θ) = 3

sin (5 x) + sin (3 x) = 0

sin (θ) = \frac{1}{7}

2 cos^{2} (x) - 5 cos (x) = 3

What is the general solution for tan(x)=-1,0<= x<= 2pi ?
The general solution for tan(x)=-1,0<= x<= 2pi is x=(3pi)/4 ,x=(7pi)/4