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