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
vlabodo [156]
3 years ago
12

How is domain of the function f(x)=sinx restricted so that its inverse function exists?

Mathematics
1 answer:
Virty [35]3 years ago
8 0

Answer:

Correct answer:  sin x ⇒D(x) :  [- π/2, π/2] ; sin⁻¹x ⇒ CD(x) :  [- π/2, π/2]

Step-by-step explanation:

In order for the function sin x to have an inverse function sin⁻¹x due to the monotony, the domain is taken D(x) :  [- π/2, π/2] and the range of sin⁻¹x  is CD(x) :  [- π/2, π/2].

God is with you!!!

You might be interested in
1. What is the area of a circle with a diameter of 3.4 cm? Round your answer to the nearest tenth. (use 3.14 for pi)
Brilliant_brown [7]
1. The area of a circle is
a = \pi {r}^{2}
\pi = 3.14 \\ r =  \frac{3.4}{2}  = 1.7
a = (3.14) {(1.7)}^{2}  \\  = 9.0746
The area is 9.07 cm^2.

2. The volume of a cube is
v =  {s}^{3}
s = 4.5
v =  {(4.5)}^{3}  \\  = 91.125
The volume is 91.125 m^3
7 0
3 years ago
Given the following two points find the slope. p1(-2,3)and p2(1,0)
Aloiza [94]

Answer

Slope(m) = -1


Step by step explanation

Slope (m) = (y2 - y1)/(x2 - x1)

Here p1 = (-2, 3) and p2 (1, 0)

x1 = -2, y1 = 3, x2 = 1, y2 = 0

Now plug in the values in the slope formula, we get

m = (0 - 3) / (1 - (-2))

m = -3/(1 + 2)

m = -3/3

m = -1

Therefore, slope = -1

Thank you.

8 0
3 years ago
Henrietta interviewed her classmates on their favorite subjects. She recorded their gender and favorite subject. She concluded t
Tamiku [17]
<span>no, the relative frequency of males who like math is different from the relative frequency of females who like science.</span>
4 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP
butalik [34]

Answer: Dilation followed by a rotation & they are similar.

Step-by-step explanation:

3 0
3 years ago
The difference between a number and 8 is 11
quester [9]

Answer:

The difference between 19 and 8 is 11.

Step-by-step explanation:

Given:

The difference between a number and 8 is 11

Find the number.

Solution:

Let the unknown number be =x

The difference between the unknown number can be written as:

x-8

We are given that the difference =11

So we can write the equation to find x as :

x-8=11

Using additive property to solve for x

Adding 8 to both sides to isolate x on one side.

x-8+8=11+8

∴ x=19

∴ The unknown number = 19

6 0
3 years ago
Read 2 more answers
Other questions:
  • Juanita is making paper flowers to use as decoration for a party. The table below shoes the total cost for different numbers of
    6·2 answers
  • Calls made in a 3 day telephone fund raiser at a rate of 10 calls per hour
    8·1 answer
  • Is 5/10 s simplest form or not
    10·2 answers
  • Cot -90<br> trig function
    9·1 answer
  • If a watch cost $40 and you must pay 6.5% sales tax, how Mich will the tax be?
    6·1 answer
  • What dose x represent
    7·2 answers
  • Let A be the set of all integers which are 3 more than some perfect square. Here are some examples of such integers are: 4 = 1 +
    12·1 answer
  • Help with math word problem grade 9 level
    5·1 answer
  • What is 8/5 + 7/5<br> i would like to know
    14·2 answers
  • Simplify 1/3a+3/5-1/15+2/3a
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!