What is the general solution for tan(x)=-3,-270<= x<= 270 ?

The general solution for tan(x)=-3,-270<= x<= 270 is x=-1.24904…,x=-1.24904…+180,x=-1.24904…-180

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tan(x)=-3,-270<= x<= 270

tan (x) = - 3, - 27 0^{\circ} \leq x \leq 27 0^{\circ}

x = - 1.24904 \dots, x = - 1.24904 \dots + 18 0^{\circ}, x = - 1.24904 \dots - 18 0^{\circ}

Radians

x = - 1.24904 \dots, x = - 1.24904 \dots + π, x = - 1.24904 \dots - π

Solution steps

tan (x) = - 3, - 27 0^{\circ} \leq x \leq 27 0^{\circ}

Apply trig inverse properties

tan (x) = - 3

General solutions for

tan (x) = - 3

tan (x) = - a \Rightarrow x = arctan (- a) + 18 0^{\circ} n

x = arctan (- 3) + 18 0^{\circ} n

x = arctan (- 3) + 18 0^{\circ} n

Solutions for the range

- 27 0^{\circ} \leq x \leq 27 0^{\circ}

x = - arctan (3), x = - arctan (3) + 18 0^{\circ}, x = - arctan (3) - 18 0^{\circ}

Show solutions in decimal form

x = - 1.24904 \dots, x = - 1.24904 \dots + 18 0^{\circ}, x = - 1.24904 \dots - 18 0^{\circ}

5 cos^{2} (θ) = - 13 cos (θ) + 6

- 3 sin (x) - cos (x) = 0

tan (θ) + sec (θ) = 1

6 sin (x) + 8 = 0

2 cos (x) - 7 = 4 sec (x)

What is the general solution for tan(x)=-3,-270<= x<= 270 ?
The general solution for tan(x)=-3,-270<= x<= 270 is x=-1.24904…,x=-1.24904…+180,x=-1.24904…-180