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

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

Mathematics
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135/2 degs and 315/2 degs.
maybe there are more answer.s..
oops no. sry im wrong

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can you please show me how to solve this step by step? please
im wrong
i moved 2 over and divided by 2 to get tax=-1
*tanx =-1
and thats true when x = 135/2 degs and 315/2 degs.
no no corss that, its true when 315 degs ad 135 degs..
OHH WAIT
oh so the answer is 135 and 315 degrees
no its not
only for TANX. you have 2tanx+2
Tan is -1 at 180 - 45 degrees = 135 degrees and Tan is -1 at 360 - 45 degrees = 315 degrees
no. plug into equation and it wont work
oh i just looked in the back of my textbook... it is
it only shows answers not steps.. i appreciate it
im confused.. which one has the multiple angles ? like is it tan(x/2)
ok nvm yeah
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.
i understand everything your telling me, howeverr.. im confused on why you subtracted 45 degrees
hello?
nvm.. i understand, thank you very much

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