1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ozzi
3 years ago
12

Write the equation for the inverse of the function. y = sin x​

Mathematics
2 answers:
MakcuM [25]3 years ago
7 0

Answer:

<em>  The answer is \sin^{-1}x = y</em>

Step-by-step explanation:

    We need to find the inverse of the function

     y = sinx

    Taking \sin^{-1} on both sides

    \sin^{-1}y =  \sin^{-1}sinx

     \sin^{-1}y = x

     Substituting x to y and y to x

<em>      \sin^{-1}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 \sin^{-1}x = y</em>

NemiM [27]3 years ago
6 0

Answer:

y = Arcsin x

Step-by-step explanation:

You might be interested in
What are the steps to solving this?
Archy [21]

Answer:

64 cubic metres

Step-by-step explanation:

The triangular pyramid volume formula resembles the volume formula for any other pyramid or cone:

V = A * H / 3

where:

A is the area of the pyramid's base

H is the height from the base to the point

In other words: the volume of a triangular pyramid is one-third of the product of the base area and the pyramid's height.

8 x 6 / 2 to find area of base = 24

x 8 = 192

192 / 3 = 64

Hope this makes sense. If you would like, I can l1nk to a very useful website, or I can explain it further.

- profparis

5 0
2 years ago
How many solutions does the pair of equations y = 0 and y = -5 have?
Crank

Answer: None

Step-by-step explanation:

y=0 and y=-5 don't have any solutions. When you ask if a pair of equations have a solution, that means there is an intersection of the equations. The 2 equations will meet somewhere, and that is the solution. To find the solution, you set the equations equal to each other.

0≠-5

It is obvious that 0 and -5 are not equal to each other. Therefore, there is no solution. Also, y=0 and y=-5 are horizontal lines that are parallel to each other. They will never meet, which means there will be no intersection. No intersection means no solutions.

8 0
3 years ago
Tara scored 20 points in her first basketball game and n points in each of the next 6 games. What expression represents tara's t
Karo-lina-s [1.5K]

Answer:

  20+6n

Step-by-step explanation:

Tara's point total is found by adding up the points in each game ...

  20 + n + n + n + n + n + n

  = 20 +6n

_____

Of course, we use multiplication to simplify repeated addition.

6 0
3 years ago
Solve the quadratic by factoring.<br> x^2-5x-31=5
torisob [31]

Answer:

x =  - 4\: or \: x =  9

Step-by-step explanation:

make one side equal to zero:

{x}^{2}  - 5x - 36 = 0

find two factors that multiply to -36 and add to -5 (-9 & 4)

{x }^{2}  - 9x + 4x - 36 = 0

factorise

x(x - 9) + 4(x - 9) = 0

(x + 4)(x - 9) = 0

solve for x

x =  - 4 \: or \: x = 9

5 0
3 years ago
X^2+4x+y^2-10y+20=30 find the center of the circle by completing the square
swat32

Answer:

a). Center of the circle = (-2, 5)

b). Equation of the line ⇒ y = -\frac{4}{5}x+\frac{58}{5}

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),

    m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

          = \frac{10-5}{2+2}

          = \frac{5}{4}

    Let the slope of the tangent which is perpendicular to this line is 'm_{2}'

    Then by the property of perpendicular lines,

          m_{1}\times m_{2}=-1

          \frac{5}{4}\times m_{2}=-1

                 m_{2}=-\frac{4}{5}

   Now the equation of the line passing though (2, 10) having slope m_{2}=-\frac{4}{5}

           y - y' = m_{2}(x-x')

           y - 10 = -\frac{4}{5}(x-2)

           y - 10 = -\frac{4}{5}x+\frac{8}{5}

                  y = -\frac{4}{5}x+\frac{8}{5}+10

                  y = -\frac{4}{5}x+\frac{58}{5}

Therefore, equation of the line will be, y = -\frac{4}{5}x+\frac{58}{5}

7 0
3 years ago
Other questions:
  • What is the mode of the following set of data?
    13·1 answer
  • Please help I don't know how to do this
    7·1 answer
  • Milo cut his cake into 2 equal pieces. He ate 2 <br> pieces of cake for his birthday
    11·2 answers
  • If y= -12 when x= 9<br> find y when x= -4
    12·1 answer
  • At a benefit​ concert, eleven bands have volunteered to perform but there is only enough time for eight of the bands to play. Ho
    12·1 answer
  • A toy manufacturer uses 90 pints of plastic to make 600 action figures. If they use 810 pints of plastic in an 8 hour shift, how
    9·1 answer
  • Step by step 2 step equation: v/6-4=-5
    14·1 answer
  • Given f(x) = 10-4x<br>find f (8)<br>​
    15·1 answer
  • PLS HELP I NEED THE CORRECT ANSWER FOR THIS
    11·1 answer
  • What is the answer please help i really need help
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!