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:
factor the expression:2(x+3
simply the expression:2x+6
Step-by-step explanation:
tell me if you don't get it
Answer:
y = 1/2x -1.5
Step-by-step explanation:
The equation of a line is typically written as y = mx + b.
m is the slope of the line, while b is the y-intercept. y is the y-coordinate and x is the x-coordinate.
Since it indicated that the line has a slope of 1/2, we can substitute the m in the equation with 1/2.
y = 1/2x + b
In order to find the intercept of the line, we use the equation of a line to substitute the y-coordinate and x-coordinate of (-3,-3) to discover the y-intercept of b.
-3 = 1/2(-3) + b
One half of -3 is -1.5.
-3 = -1.5 + b
Add -1.5 to both sides of the equation.
-3 = -1.5 + b
+1.5 +1.5
-1.5 = b
Since we found the y-intercept, we can now place it into our equation.
y = 1/2x -1.5 and that's the answer!
Answer:
7x-11y+9=0
Step-by-step explanation:
