How could you explain the sine and cosine relationships to someone who doesn't know about the unit circle? What visuals could yo
u use to help explain the idea of how these two measures are related?
1 answer:
If you have a unit circle, it means that you have a circle of radius r = 1 unit. So if we consider the scalene triangle of the figure, its vertical side is the sine of the theta angle and its horizontal side is the cosine of the theta angle. Then to find the hypotenuse of the triangle you use the Pythagorean theorem, thus relating the sine and cosine measures. I attach the solution.
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There are 19 people total, and groups of four are being asked of us. We can use the formula for permutations or combinations.
Permutations:
Combinations:
Where in both scenarios, there are <em>n</em> objects being chosen at <em>r</em> times.
19 P 4 is 93024
19 C 4 is 3876
It all depends on whether order matters with group placement; if it does, your answer is 93024, if not, then your answer is 3876.
:)
Permutations:
Combinations:
Where in both scenarios, there are <em>n</em> objects being chosen at <em>r</em> times.
19 P 4 is 93024
19 C 4 is 3876
It all depends on whether order matters with group placement; if it does, your answer is 93024, if not, then your answer is 3876.
:)