Sandra wants to evaluate 2 cot Her work is shown below. What did she do wrong?

Mathematics

1 answer:

Natalija [7]4 years ago

3 0

Answer: The first option.

Step-by-step explanation:

1. To solve this exercise you need to remember that:

- An even function is a function with the following property:

f(-x)=f(x)

- An odd function is a function with this property:

f(-x)=-f(x)

2. By definition, the contangent is an odd function, therefore you have that:

cot(-θ)=-cot(θ)

Then:

$2cot(-\frac{9\pi}{2})\neq2cot(\frac{9\pi}{2})$

3. So, you can coclude that the first step is wrong. Therefore, the answer is the first option.

You might be interested in

4−32⋅(−0.25)−12÷13, what's the answer?

vampirchik [111]

The answer is 144 over 13

8 0

3 years ago

Read 2 more answers

How to Solve proposition?

Helen [10]

Do you mean proportions?

4 0

3 years ago

A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,