4,3,2,5, 6, 6, 10, 5, 6, 2, 3, 4, 6, 7, 14,5 1. What is the mean of the data set?
1 answer:
You might be interested in
Answer: Choice A. sin(A) = cos(B)
============================================================
Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
- sin(A) = opposite/hypotenuse = BC/AB
- cos(B) = adjacent/hypotenuse = BC/AB
Since both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.
