Answer:
Step-by-step explanation:
cot = cos / sin
tan = sin / cos
=> sin²A × cos²A/sin²A + cos²A × sin²A/cos²
=> cos²A + sin²A
=> 1
The inverse of the function are respectively; f⁻¹(3) = 2 and f⁻¹(8) = 8.5
<h3>How to find the inverse of a Function?</h3>
The formula to find the equation of this function using two coordinates is;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
Using the first 2 coordinates, we have;
(y - 1)/(x + 1) = (3 - 1)/(2 + 1)
(y - 1)/(x + 1) = 2/3
3y - 3 = 2x + 2
3y = 2x + 5
y = ¹/₃(2x + 5)
Thus, the inverse is;
f⁻¹(x) = (3x - 5)/2
Thus;
f⁻¹(3) = (3*3 - 5)/2
f⁻¹(3) = 2
Similarly;
f⁻¹(x) = (3x - 5)/2
Thus;
f⁻¹(8) = (3*8 - 5)/2
f⁻¹(8) = 8.5
Read more about Inverse of a Function at; brainly.com/question/11735394
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Answer:
Tom started out with 57 games but sold 37 of them.
=> Now, Tom has: 57 - 37 =20 games
He put the rest in boxes with 5 games in each.
=> The number of boxes: 20/5 = 4 box
Hope this helps!
:)
Answer:
Step-by-step explanation:
The given equation is 
Differentiate both sides with respect to x
Take y and 1 to other sides of the equation
Factor out dy/dx from the left hand side of the equation
Divide both sides by (x+1)
