Write the equation for the inverse of the function. y = sin x
2 answers:
Answer:
<em> The answer is x = y</em>
Step-by-step explanation:
We need to find the inverse of the function
y = sinx
Taking on both sides
y =
sinx
y = x
Substituting x to y and y to x
<em> x = y</em>
This is the required inverse of the function
The graph of the function and its inverse is symmetric about y = x
<em> The answer is x = y</em>
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Answer:
Step-by-step explanation:
make one side equal to zero:
find two factors that multiply to -36 and add to -5 (-9 & 4)
factorise
solve for x
Answer:
a). Center of the circle = (-2, 5)
b). Equation of the line ⇒ y =
Step-by-step explanation:
Equation of the circle is,
x² + 4x + y²- 10y + 20 = 30
a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30
[x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30
(x + 2)² + (y - 5)²- 29 + 20 = 30
(x + 2)² + (y - 5)²- 9 = 30
(x + 2)² + (y - 5)² = 39
By comparing this equation with the standard equation of a circle,
Center of the circle is (-2, 5).
b). A point (2, 10) lies on this circle.
Slope of the line joining this point to the center (-2, 5),
=
=
Let the slope of the tangent which is perpendicular to this line is ''
Then by the property of perpendicular lines,
Now the equation of the line passing though (2, 10) having slope
y - y' =
y - 10 =
y - 10 =
y =
y =
Therefore, equation of the line will be, y =