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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find all solutions in the interval [0, 2π). 2 sin2x = sin x
Solution:
Given 2 sin2x = sin x
These are trigonometric functions
We know that sin2x = 2 sinx cosx
Hence substituting in the given function, we get
2(2 sinx cosx) = sinx
4cosx = 1
cosx = 1/4
x = cos-1(1/4)
x = 75.5 degrees and 284.48 degrees
Therefore, the solutions in the interval [0, 2π). 2 sin2x = sin x are 75.5 degrees and 284.48 degrees.
Find all solutions in the interval [0, 2π). 2 sin2x = sin x
Summary:
All solutions in the interval [0, 2π). 2 sin2x = sin x are 75.5 degrees and 284.48 degrees.
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