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2 years ago

Select the graph of y=cot x.

Mathematics

1 answer:

Kisachek [45]2 years ago

7 0

Because of the vertical asymptote and the change in concavity, we conclude that the correct option is B.

<h3>Which is the graph of cotangent of x?</h3>

Remember that cot(x) = 1/tan(x).

Then we can rewrite:

cot(x) = cos(x)/sin(x).

We know that for x = 0, we have:

cot(0) = cos(0)/sin(0) = 1/0

Then we have a vertical asymptote that tends to ± infinity.

The only graph that meets this condition is the second and the third one, and by the curvature (we need to have a change of concavity/convexity) in the tangent function.

From that, we conclude that the correct option is B.

If you want to learn more about trigonometric functions:

brainly.com/question/8120556

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The length of a rectangular field is 75 yards. This is 3 yards more than twice the width. How wide is the field?

spin [16.1K]

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3 years ago

The ratio of boys to girls in the Grade 3 classes at Domino Primary school

olga_2 [115]

Answer:

28 learners

Step-by-step explanation:

Boys : Girls

3 : 4

Since there are 12 boys and 3 units of them...

3 units = 12

1 unit = 12 ÷ 3 = 4

Girls =

4 units = 4 x 4 = 16

Total number of girls and boys: 12 + 16 = 28

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3 years ago

A rectangular prism has a length of 2 1/2 m, a width of 4 m, and a height of 2 1/4 m. what is the volume of the prism?

malfutka [58]

Volume of the rectangular prism is22.5 you just multiply everything together
2.5*4*2.25

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4 years ago

Whats the gcf of 34 and 85

STatiana [176]

34 = 2 x 17
85 = 5 x 17

gcf = 17

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4 years ago

Simplify the following equation completely. Write your answer in only positive exponents.

kotegsom [21]

Answer:

Appears to be A with a typo.

Should be $\frac{3a^{12}*b^{3}}{4}$

Step-by-step explanation:

To evaluate or simplify expressions with exponents, we use exponent rules.

1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.

2. When we multiply terms with the same bases, we add exponents.

3. When we divide terms with the same bases, we subtract exponents.

4. When we have a base to the exponent of 0, it is 1.

5. A negative exponent creates a fraction.

6. When we raise an exponent to an exponent, we multiply exponents.

7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.

We will use these rules to simplify.

$\frac{12a^8b^{-7}}{(4a^{-2}b^{-5})^2}\\\\\frac{12a^8b^{-7}}{4^2a^{-4}b^{-10}} \\\\\frac{12}{16}*\frac{a^8}{a^{-4}}*\frac{b^{-7}}{b^{-10}}\\\\\frac{3}{4}*a^{8--4}*b^{-7--10}\\\\ \frac{3}{4}*a^{12}*b^{3}$

7 0

3 years ago