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3 years ago

Simplify.

Mathematics

1 answer:

bixtya [17]3 years ago

5 0

Answer:

$\frac{3+i}{-2i}$ = -0.5 + 1.5i

Step-by-step explanation:

Given 3+i divided by -2i ⇒ $\frac{3+i}{-2i}$

By multiplying the numerator and the denominator by the conjugate of (-2i) which will be equal (2i)

So, $\frac{3+i}{-2i}$ = $\frac{3+i}{-2i} *\frac{2i}{2i} = \frac{i(3+i)}{-2i^2} = \frac{i^2+3i}{-2i^2}$

We should know that: i = √(-1) ⇒ i² = -1

∴ $\frac{i^2+3i}{-2i^2} = \frac{-1+3i}{-2*-1} = \frac{-1+3i}{2} = -0.5 + 1.5i$

∴ $\frac{3+i}{-2i}$ = -0.5 + 1.5i

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$\bf 16sin^5(x)+2sin(x)=12sin^3(x)
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