Answer:
tan(Sin^-1 x/2)= 
Step-by-step explanation:
Let sin^-1 x/2= θ
then sinθ= x/2
on the basis of unit circle, we have a triangle with hypotenuse of length 1, one side of length x/2 and opposite angle of θ.
tan(Sin^-1 x/2) = tanθ
tanθ= sinθ/cosθ
as per trigonometric identities cosθ= √(1-sin^2θ)
tanθ= sinθ/ √(1-sin^2θ)
substituting the value sinθ=x/2 in the above equation
tanθ=
now substituting the value sin^-1 x/2= θ in above equation
tan(sin^-1 x/2) =
!
Answer:
v = 3.14x²y
Step-by-step explanation:
volume cylinder = πr²h
r = 2x ÷ 2 = x
h = y
Answer:
Determine the range of the function graphed above
[ 0,4 ]
[4, infinite)
(-infinite, 4]
[ -4,0 ]
Step-by-step explanation:
The hard part is just making sense of what they are asking for.
4 times the quantity of a number decreased by one is just the expression:
4 * (x-1)
Where "x" is our mystery number.
Two more than the same number is just:
x + 2
Where "x" is our same mystery number.
They say that these two expressions are the same, so just set them equal to each other.
4*(x-1) = x+2
4x - 4 = x +2
3x -4 = 2
3x = 6
x = 2
The mystery number is 2. Plug in 2 and you will see that it works!
