Cos(Ф) - 2sin(Ф).cos(Ф) =0
Factorize--> cos(Ф)[ 1-2sin(Ф)] =0
a) cos(Ф) = 0 ==> Ф= 0 or (0+2kπ)
b) 1-2sin(Ф) =0 ==> -2sin(Ф) = - 1 ==> sin(Ф) =1/2 Or
sin(Ф) = 1/2 ==> Ф =π/3 OR π/3 + (k+1)π/3
Value of cos(x+π) =
Given cosine of x =
i.e., cos(x) =
Also cos() = . So x = .
We need to find cos(x+π) = cos().
But its value is not easy to find. So we use trigonometric formulas.
We have the trigonometric formula, cos (x+π) = - cos(x) = - =
Cos(x+π) lies in the 3rd quadrant. So there cosine has negative values. That is why, cos (x+π) = - cos(x).
Learn more about Cos(x+π) trigonometric formula at brainly.com/question/12243383
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The slope of parallel lines are the same and the slope of perpendicular lines are negative reciprocal
example: parallel, slope line 1: 2 slope line 2: 2
perpendicular, slope line 1: 2 slope line 2: -1/2
3 hours and 35 minutes.
2 hours and 50 minutes.