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#