SOLUTION: Given 0≤θ≤360, solve the equation cot θ = −1. Be sure to draw and fully label all relevant diagrams, with exact answers only.

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Question 1181840: Given 0≤θ≤360, solve the equation cot θ = −1. Be sure to draw and fully label all relevant diagrams, with exact answers only.
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52903) About Me  (Show Source):
You can put this solution on YOUR website!
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This equation has two solutions in the given interval


    theta = 135°  and  theta = 315°.    ANSWER



Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!


cot(x) is the reciprocal of tan(x); if cot(x)=-1, then tan(x)=-1.

Tan(x)=-1 means a 45 degree reference angle in one of the quadrants where tangent is negative -- namely, quadrants II and IV. That makes the two solutions 180-45=135 and 360-45=315 degrees.