SOLUTION: Solve for x on the interval [0,2pi] cos(x-(pi/2))[3tan(x-(pi/2))]=3 The answer is no solution and the answer I got was -cos(x)=1. Is this answer a know solution.

Algebra ->  Trigonometry-basics -> SOLUTION: Solve for x on the interval [0,2pi] cos(x-(pi/2))[3tan(x-(pi/2))]=3 The answer is no solution and the answer I got was -cos(x)=1. Is this answer a know solution.       Log On


   

Question 970670: Solve for x on the interval [0,2pi]
cos(x-(pi/2))[3tan(x-(pi/2))]=3
The answer is no solution and the answer I got was -cos(x)=1. Is this answer a know solution.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's substitute u=x-pi%2F2
cos%28u%29%2A3tan%28u%29=3
cos%28u%29%2A%28sin%28u%29%2Fcos%28u%29%29=1
sin%28u%29=1
u=0
x-pi%2F2=0
x=pi%2F2