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# Tutor profile: Jordan G.

Inactive
Jordan G.
Mathematics Enthusiast
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## Questions

### Subject:Trigonometry

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Question:

How do people do Trigonometry in their head so fast?

Inactive
Jordan G.

If you ask somebody tan(pi/4) and if they say 1 pretty quickly, that means they have memorized the unit circle! The unit circle is a really helpful tool that allows you to compute a variety of trigonometric functions without a calculator.

### Subject:Calculus

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Question:

What should I study for the AP Calculus test?

Inactive
Jordan G.

You should be pretty safe if you know limits, derivatives, and integrals pretty well. And memorizing formulas really helped me as well.

### Subject:Algebra

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Question:

I am having a hard time computing imaginary numbers with high powers. How do I do this more efficiently?

Inactive
Jordan G.

All you have to do is subtract the closest multiple of 4 from the power that is no greater than the power. For example: i^50. Looking at the power, the closest multiple of 4 less than 50 is 48. 50 - 48 = 2. Now we know i^2 = -1. So i^50 = -1. "How does this work?" You may ask. Note that in general, i^2 = -1 and i^4 = i^2 * i^2. This is helpful since we get i^4 = -1 * -1 meaning i^4 = 1. This allows us to deal with larger powers on imaginary numbers!

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