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Kamila [148]
3 years ago
14

2sin^2x - sinx - 3 = 0

Mathematics
1 answer:
e-lub [12.9K]3 years ago
8 0
We have that
2sin²<span>x - sinx - 3 = 0
</span>
Let
A------> sin x
so
2A²-A-3=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solutions are
A=-1
A=1.5------> is not solution because sin x <span>can not be 1.5

the solution is
A=-1
therefore
sin x=-1
x=arc sin(-1)=-90</span>°

the answer is
sin x=-1
x=-90° or 270°

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