SOLUTION: Find two solutions of the equation tanx=−1 for 0∘≤x<360∘ x= ∘ Give your answer in degrees.

Algebra ->  Test -> SOLUTION: Find two solutions of the equation tanx=−1 for 0∘≤x<360∘ x= ∘ Give your answer in degrees.      Log On


   



Question 1159759: Find two solutions of the equation tanx=−1 for 0∘≤x<360∘
x=

Give your answer in degrees.

Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
tangent is negative in the second and fourth quadrant
x= 1 at 45, and 225
x=-1 at 135d and 315d.ANSWER

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

tan+%28x%29=-1->tan is negative in quadrant II and IV
x=tan%5E-1%28-1%29
x=-pi%2F4 (result in radians)
x=-45°


solution in quadrant II =>180-45=135°
solution in quadrant IV =>360-45=315°