SOLUTION: how do you find all the solutions for the interval sinx cosx

SOLUTION: how do you find all the solutions for the interval sinx cosx - cosx = 0, with the interval [0, 2pi]?

Question 1073708: how do you find all the solutions for the interval sinx cosx - cosx = 0, with the interval [0, 2pi]?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
sinx cosx - cosx = 0
:
factor the left side of =
:
cosx * (sinx - 1) = 0
:
there are two equations
:
1. cosx = 0
x = 90 + 180 * n(1) where n(1) belongs to the integers(Z)
:
2. sinx - 1 = 0
sinx = 1
x = 90 + (2 * 180 * n(2) where n(2) belongs to Z
:
we are asked for solutions on the interval [0, 360]
:
**********************************************************
1. 90, 270
:
2. 90
*********************************************************
:

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