When we use arcsine, we are finding the angle while giving the trigonometric ratio.
Arcsin(u) = theta can be rewritten as:
sin(theta) = u
Sine is opposite over hypotenuse, so u/1 means that the side opposite to theta (the y value) is u, and the hypotenuse is 1.
We can use Pythagorean Theorem to find the adjacent (x value).
1^2 - u^2 = x^2
x = sqrt(1-u^2)
Back to the original question, we are trying to find cos(arcsin(u)). We just solved all the sides for our triangle using arcsin(u). Now we need to do cos(u).
Cosine is adjacent over hypotenuse.
So our answer is sqrt(1-u^2)/1
Or just sqrt(1-u^2)
We need to find out what percentage $912 is of $15 200. The answer is 6%, if I'm understanding the question correctly.
Step-by-step explanation:
in this situation
A+B =D
It would remain the same (4/5). <span>Sin of the angle is unchanged regardless of the size; it is a ratio related only to the angle, not the size of the triangles.</span>
