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andre [41]
3 years ago
15

Solve by factoring: 2sinxcosx=sinx in [0,2π)

Mathematics
1 answer:
3241004551 [841]3 years ago
4 0
<span>2sin(x)cos(x) = sin(x)
2sin(x)cos(x) - sin(x) = 0
sin(x)(2cos(x) - 1) = 0
sin(x) = 0
x = 0, pi, 2pi
2cos(x) - 1 = 0
cos(x) = 1/2
x = pi/3,  5π/pi
x = 0, pi/3, pi, 5 pi/3,  2 pi
hope it helps
</span>
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Answer:

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Step-by-step explanation:

The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)

The ratio the required point partitions the line = 2 to 3

The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)

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The coordinates of the point is (0, -4)

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