## anonymous 5 years ago Help with Trig!!-- 2 tan x +2=0....... solve for all degree solutions and x = 0 degrees < x< 360 degrees

1. anonymous

135/2 degs and 315/2 degs.

2. anonymous

3. anonymous

oops no. sry im wrong

4. anonymous

can you please show me how to solve this step by step? please

5. anonymous

im wrong

6. anonymous

i moved 2 over and divided by 2 to get tax=-1

7. anonymous

*tanx =-1

8. anonymous

and thats true when x = 135/2 degs and 315/2 degs.

9. anonymous

no no corss that, its true when 315 degs ad 135 degs..

10. anonymous

OHH WAIT

11. anonymous

oh so the answer is 135 and 315 degrees

12. anonymous

no its not

13. anonymous

only for TANX. you have 2tanx+2

14. anonymous

Tan is -1 at 180 - 45 degrees = 135 degrees and Tan is -1 at 360 - 45 degrees = 315 degrees

15. anonymous

no. plug into equation and it wont work

16. anonymous

oh i just looked in the back of my textbook... it is

17. anonymous

it only shows answers not steps.. i appreciate it

18. anonymous

im confused.. which one has the multiple angles ? like is it tan(x/2)

19. anonymous

ok nvm yeah

20. anonymous

First replace tan x with something else to make it easier to do. Then solve for that new variable. $\text{Let tan x} = g \implies 2(tan\ x)+2 = 2g+2$ Then solve for g. Then replace g with tan x again and take the inverse tan to find the angle between $$\frac{-\pi}{2}$$ to $$\frac{\pi}{2}$$ that satisfies that result. Then you can add or subtract additional $$\pi$$ values to find more angles.

21. anonymous

i understand everything your telling me, howeverr.. im confused on why you subtracted 45 degrees

22. anonymous

hello?

23. anonymous

nvm.. i understand, thank you very much