How do you solve for 0º ≤ x < 360º using the equation -3 - 1/3 tan x = -10/3 ?

1 Answer
Feb 27, 2018

x={45^@, 225^@}

Explanation:

-3-1/3tanx=-10/3

Add 3 to both sides

-1/3tanx=-10/3+3=-10/3+9/3=-1/3

-1/3tanx=-1/3

Multiply both sides by -3

-3*-1/3tanx=-1/3*-3

tanx=1

tantheta=1 at 45^@ and 225^@

Use your unit circle to verify the points where sintheta/costheta=1