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ACT Math Videos 164 videos

ACT Math 1.1 Pre-Algebra
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Pre-Algebra Drill 1, Problem 1. Calculate 23 + 53(7 – 4).

ACT Math 1.1 Trigonometry
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ACT Math: Trigonometry Drill 1, Problem 1. What is the length of y?

ACT Math 1.2 Coordinate Geometry
252 Views

ACT Math: Coordinate Geometry Drill 1, Problem 2. Solve the inequality and determine which solution is shown on the number line.

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ACT Math 1.5 Trigonometry 254 Views


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Description:

ACT Math: Trigonometry Drill 1, Problem 5. Can you simplify the expression?

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Transcript

00:02

Here's your shmoop du jour, brought to you by Trigonometric Function Problems. Almost

00:08

as difficult to say as they are to solve. Simplify: cosecant of alpha over secant of alpha.

00:16

And here are the potential answers...

00:21

One quadruple layered fraction sandwich coming up!

00:25

Cosecant alpha is equal to one over sin alpha.

00:28

And sec alpha equals one over cos alpha. Now our fraction looks like this: one over

00:36

sin alpha ALL OVER one over cos alpha.

00:40

Now to simplify the sandwich, we multiply one over sin alpha by the reciprocal of one

00:45

over cos alpha to get cos alpha over sin alpha. And since we know that cos alpha over sin

00:52

alpha equals cotangent alpha...

00:54

...we can determine that the answer is B.

00:57

Now we are definitely going to chow down on this thing... as soon as we can get our tongue untied...

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