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Featured 2 weeks ago

We know that,

Using

Featured 2 weeks ago

As below.

graph{3 sin ((1/3)x + (pi/2)) - 2 [-10, 10, -5, 5]}

Featured 1 week ago

Either,

OR,

Featured 1 week ago

As below.

graph{-2 sin x + 1 [-10, 10, -5, 5]}

Featured 6 days ago

Featured 10 hours ago

Obviously no regular angle, no real number, has a sine of

Euler's Formula is valid for complex numbers too:

We want to know about

Subtracting,

From here out we'll use that essentially as the definition of

It's actually easier to get a relatively nice closed form for the inverse sine of a real number greater than one than of a regular sine.

We want to solve

Let

I call it the **Shakespeare Quadratic Formula** (

Since

Since

That's the general solution to

The two imaginary parts are negations of each other! That means the

Considering

OK, let's plug in

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