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
alisha [4.7K]
3 years ago
13

What is the domain of y=cot x?

Mathematics
1 answer:
MissTica3 years ago
5 0

We have to find the domain of y = cotx

We know that cotx = cos x / sinx

And also when sinx becomes zero cotx becomes undefined

And again we know that value of cosx and sinx can be between -1 to 1

But value of cotx can lie in between -∞ to +∞

Just for example cot30 is cos30 / sin30

= √3/2/1/2 = √3

Therefore domain of cotx is x

x ∈ R , x ≠ πn for any integer n

You might be interested in
Solve for x.<br><br><br>−4/5x+3/10&lt;8/10
Deffense [45]

Answer:

x > -5/8

Step-by-step explanation:

Simplify by combining x and 4/5 and then moving 4 to the left side of x

-x * 4/5 + 3/10 < 8/10

-4x/5 + 3/10 < 8/10

Now we cancel the common factor of 8 and 10.

Factor 2 out of 8

-4x/5 + 3/10 < 2(4)/10

2 from 10

-4x/5 + 3/10 < 4/5

Now move all the terms not containing x to the right side

Lets subtract 3/10 from both sides

-4x/5 < 4/5 - 3/10

Now we multiply by 2/2 to write 4/5 with a common denomi.

-4x/5 < 4/5 * 2/2 - 3/10

Now write with a common denom of 10 and multiply by 1

-4x/5 < 4*2/5 * 2 - 3/10

5 by 2

-4x/5 < 4 * 2/10 - 3/10

Combine

-4x/5 < 4 * 2 - 3/10

Simplify the numerator by multiplying then subtracting

-4x/5 < 8 - 3/10

-4x/5 < 5/10

Cancel the common factor of 5 and 10...

-4x/5 < 5(1)/10

-4x/5 5* 1/5 * 2

-4x/5 < 1/2

Now we divide by -1

-4x/5)/-1 > 1/2)/-1

4x/5 > 1/2)-1

4x/5 > -1/2

Multiply both sides by 5 and cancel common factors. (5)

4x * 5 > -1/2 * 5

4x > -1/2 * 5

4x > -5/2

Now divide by 4 in each term

4x/4 > -5/2)/4

x > -5/2)/4

Multiply the numer by the reciprocal of the denom

x > -5/1 * 1/4

x > -5/4 * 2

x > -5/8

5 0
2 years ago
Read 2 more answers
The vertices of ΔDEF have coordinates D(–1, 2), E(3, 3), and F (2, –4).What are the coordinates of the vertices of r(90°, O)(ΔDE
alex41 [277]

Answer:

D,E

Step-by-step explanation:

hope I helped

4 0
3 years ago
Please help!!! what is the value of x?
nika2105 [10]

Answer:

x=1

Step-by-step explanation:

Look at the bottom of the triangle you will see that 1 = x

4 0
2 years ago
Round six point nine five to one decimal place
alexandr1967 [171]
6.95 to one decimal place would be 7 because if it was 6.9 then it would round to 7 and the 6.95 rounds the 9 to a 10 and you cant have 6.10 so it would be 7.
8 0
3 years ago
Read 2 more answers
Please help me( '人' )​
love history [14]

Answer:

S(1,2)

Step-by-step explanation:

The value that is being altered is the y value if you go from Q to T and then T to S. The x value = 1 and remains the same for point S.

To go from Q to T, you go from 8 to 5 on the y value. Remember x remains the same. That's three units (8 - 5 = 3)

To go from T to S must be 3 units as well, since the small diagonal is bisected. 5 - 3 = 2 is the answer.

So point S is noted as S(1,2)

4 0
1 year ago
Other questions:
  • Help me asap 24 points and will mark
    11·2 answers
  • How many times will interest be added to the principal in 1 year if the interest is compounded semiannually? A. 1 B. 2 C. 12 D.
    9·1 answer
  • A line passes through the point (6,1)and has a slope of 3/2. write an equation in slope intercept form
    12·2 answers
  • The weights of bags of peas are normally distributed with a mean of 12.08 ounces and a standard deviation of 1.03 ounces. Bags i
    9·1 answer
  • If there are 40 juice boxes and 2/5 are cranberry juice how many boxes are cranberry juice
    5·2 answers
  • an apple with a mass of 0.95 kilograms hangs from a tree branch 3.0 meters above the ground. what is the potential energy of the
    6·2 answers
  • PLEAE HELP I WILL GIVE BRAINLIST can someone please help with 4,5,6 and use the box method on a paper please I need this ( show
    11·1 answer
  • Rates and Ratio Test Review
    12·1 answer
  • What is the answer to 2/5-3/16
    7·2 answers
  • In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If b=4.5 miles and c=6.3 miles,
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!