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)
Answer:
Direction : Open Down
Vertex : (3,4)
Focus : (3,15/4)
Axis of Symmetry : x=3
Directrix : y=17/4
x : 1,2,3,4,5
y : 0,3,4,3,0
Step-by-step explanation: Graph the parabola using the direction, vertex, focus, and axis symmetry. Graph is included down below!
Hope this helps you out! ☺
Answer:
PerimeterFigure= pi*DIameter/2= 1.5*pi ft.
Step-by-step explanation:
The perimeter is the length of the figure, since we are dealing with an semi-circle, we can use the perimeter equation for a full circle and divide it by half.
Perimeter= 2pi*R= pi*Diameter.
Since Our figure is a semi circle, as we say earlier, we now will divide the above result by half.
PerimeterFigure= pi*DIameter/2= 1.5*pi ft.
Answer:
x-2
Step-by-step explanation:
Answer:
A) 14
Step-by-step explanation:
BC is congruent to DC in saying this you can plug the equations to each other and solve for y and then put its back into the equation for BC to get the length.
3y+5=5y-1
subtract 3y from both sides --> 5=2y-1
add 1 to both sides --> 6=2y
now get y alone, divide by 2 by both side --> y=3
plug y in back to 5y-1 --> 5x3-1
15-1
BC = 14
