What's tan 2x +1, can someone please help? ?

Question

tan 2x +1 = 0

solve for x, 0<x<360

please show the steps

Answer 1

tan 2x + 1 = 0, so tan 2x = -1

Tan is negative in the 2nd and 4th quadrants, giving you 2 angles. Tan 45 = 1, so tan 135 = -1 and tan 315 = -1. This means 2x = 135 or 2x = 315, so x = 67.5 or 157.5.

Now consider those initial angles + 360. 360+135 = 495, and tan 495 = -1. Also, tan (360+315) = tan 675 = -1. So divide them by 2 to get two more answers.

x = 67.5, 157.5, 247.5 and 337.5

Answer 2

It&#039;s equivalent to tan2x = - 1

so 2x = 135, 315

x = 135/2, 315/2

Answer 3

tan2x+1=0=&gt;

tan2x=-1=&gt;

2x=(3/4)pi,(7/4)pi=&gt;

x=(3/8)pi,(7/8)pi (pi=3.141592...)