How many ways are there for a horse race with four horses to finish if ties are possible?
1 answer:
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Answer: Choice A. sin(A) = cos(B)
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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.
Answer:
Step-by-step explanation:
Let the third side of the triangle be .
We can apply the cosine rule to find .
We evaluate to obtain;
We take the positive square root of both sides to obtain;
The correct answer is B.
