SOLUTION: Find the exact values of x in the interval (−π/2, 3π/2) that satisfy the equation, 7 tan x = −7

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Question 1148606: Find the exact values of x in the interval (−π/2, 3π/2) that satisfy the equation, 7 tan x = −7
Answer by ikleyn(52891) About Me  (Show Source):
You can put this solution on YOUR website!
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Equation  7*tan(x) = -7  is equivalent to  tan(x) = %28-7%29%2F7 = -1,


which has the roots  x= -pi%2F4  and  x= 3pi%2F4  in the given interval.


There are no other roots to the given equation in the given interval.


ANSWER.  The only two solutions to the given equation are  x= -pi%2F4  and  x= 3pi%2F4  in the given interval.

Solved, answered and explained. And completed.