All categories

3 years ago

3.) Simplify the expression.

Mathematics

1 answer:

Bogdan [553]3 years ago

6 0

Answer:

Option C) -cosu is correct

Therefore the simplified expression is $cos(u+\pi)=-cosu$

Step-by-step explanation:

Given expression is $cos(u+\pi)$

To find the value of the given expression :

By using the formula $cos(A+B)=cosAcosB-sinAsinB$

Substitute A=u and $B=\pi$ in the above formula we get

$cos(u+\pi)=cosucos\pi-sinusin\pi$

$=cosu(-1)-sinu(0)$ ( here $cos\pi=-1$ and $sin\pi=0$ )

$=-cosu-0$

$=-cosu$

$cos(u+\pi)=-cosu$

Therefore option C) -cosu is correct

Therefore the simplified expression is $cos(u+\pi)=-cosu$

You might be interested in

Simplify 7^-5/6*7^-7/6

DochEvi [55]

So the rule with multiplying exponents of the same base is $x^m*x^n=x^{m+n}$ . Apply this rule here:

$7^{-\frac{5}{6}}*7^{-\frac{7}{6}}=7^{-\frac{5}{6}+{-\frac{7}{6}}}=7^{-\frac{12}{6}}=7^{-2}$

Next, the rule with converting negative exponents into positive ones is $x^{-m}=\frac{1}{x^m}$ . Apply this rule here:

$7^{-2}=\frac{1}{7^2}=\frac{1}{49}$

<u>Your final answer is 1/49.</u>

So an additional rule when it comes to exponents is $x^{\frac{m}{n}}=\sqrt[n]{x^m}$

In this case, your fractional exponent, x^9/7, would be converted to $\sqrt[7]{x^9}$ . However, I had just realized you can further expand this.

Remember the rule I had mentioned earlier about multiplying exponents of the same base? Well, you can apply it here:

$\sqrt[7]{x^9}=\sqrt[7]{x^7*x^2}=x\sqrt[7]{x^2}$

Your final answer would be $x\sqrt[7]{x^2}$

3 0

2 years ago

Diameter =9.4mm what is the area?

Likurg_2 [28]

Answer:

here

Step-by-step explanation:

0.10757 square inches (in²)

7 0

2 years ago

Select the correct answer. Which statement about an electromagnet is true? A. It doesn’t function without a source of current. B

zubka84 [21]

Answer:I’m going to say it’s A I apologize if it’s wrong

Step-by-step explanation:

Magnets are magnetic fields that compares together when attracted close to one another so that’s Why I’m choosing A because it’s close to what I think

3 0

3 years ago

Which equations are in standard form? Check all that apply

kompoz [17]

The standard form of a line: Ax + By = C where A, B and C are integers.

Answer:

2x + 3y = -6

-4x + 3y = 12

x - y = 5

7 0

2 years ago

(plz help me) Chocolates cost $0.20 per ounce. Samantha spent $6.80 on chocolates. If n represents the number of ounces she boug

Lubov Fominskaja [6]

c 6.80/.20 equals n that is the answer

4 0

2 years ago