SOLUTION: Im a little confused about this question Where do the graphs of y=-5 tan(x) and the line y=5 intersect on the interval 0<=<=pi

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Question 756957: Im a little confused about this question
Where do the graphs of y=-5 tan(x) and the line y=5 intersect on the interval 0<=<=pi
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You have 2 simultaneous equations
(1) +y+=+5+
(2) +y+=+-5%2Atan%28x%29+
+0+%3C+x+%3C+pi+
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By substitution,
+5+=+-5%2Atan%28x%29+
+tan%28x%29+=+-1+
In the 1st quadrant, the tan is positive.
In the 2nd quadrant, which is
+pi%2F2+%3C+x+%3C+pi+
The tan is +-1+ at +x+=+%28+3%2Api%29+%2F+4+
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The intersection is at ( 3pi/4 , 5 )