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Matthew N.

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SAT

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Question:

On the SAT, timing is everything. And while they give the time limits for each section, students often still struggle with timing. What's a better way to practice timing on the SAT?

Matthew N.

Answer:

I recommend taking the section time limit, subtracting 5 minutes as a buffer/time to review your work/time to decompress from the section, and then dividing that time by the amount of questions in the section. This way, you get a better sense of how long you should take per problem, encouraging you to move on if you've exceeded that time.

Pre-Calculus

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Question:

Let's say we're working with i^{56}. That's a really big number for us to work with. So instead, we can focus on a repeating pattern of four. Every four powers, the value is the same. For example i^{1}=i, i^{2}=-1, i^{3}=-i, and i^{4}=1. With that in mind, what does i^{56} equal?

Matthew N.

Answer:

56 is a multiple of 4, so we're working with the i^{4}=1 rule. Therefore, i^{56}=1.

Trigonometry

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Question:

The Unit Circle, a core component of Trigonometry, can be broken up in a series of patterns based on multiples of three different numbers. For example, we have \pi /3, \frac{2\pi }{3}, \frac{3\pi}{3}=\pi, etc. What are the other two multiples that we use frequently in the Unit Circle?

Matthew N.

Answer:

\frac{\pi}{6} (which will simplify every so often in the \frac{\pi}{3} above) and \frac{\pi}{4}

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