Simplify this expression
1 answer:
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Answer:
f(x) = |x + 1| – 3
Step-by-step explanation:
The given graph is a transformed absolute value function.
The parent function is
The graph is obtained by shifting, g(x) from the origin (0,0) to (-1,-3).
The transformed function is of the form:
Where (h,k) is the vertex.
We substitute h=-1 and k=-3 to get:
When we simplify we get:
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) =
!