All categories

3 years ago

Cos(-170°) = _____ -cos10° cos10° cos(-10°)

Mathematics

1 answer:

ikadub [295]3 years ago

4 0

The right answer for:

cos(-170°) = _____

is:

-cos10°

<h2>Explanation:</h2>

The cosine function is an even function, which means that for every point $(x,y)$ on the graph of $y=cos(x)$ then the point $(-x,y)$ also lies on the graph of the function. In other words, we can write:

$cos(-170^{\circ})=cos(170^{\circ})$

But:

$170^{\circ}=180^{\circ}-10^{\circ}$

So:

$cos(170^{\circ})=cos(180^{\circ}-10^{\circ})$

By property:

$cos(a-b)=cosacosb+sinasinb \\ \\ a=180^{\circ} \\ \\ b=10^{\circ} \\ \\ cos(170^{\circ} )=cos(180^{\circ} -10^{\circ})=cos180^{\circ} cos10^{\circ} +sin180^{\circ} sin10^{\circ} \\ \\ cos(170^{\circ})=-cos(10^{\circ})+0 \\ \\ \boxed{cos(170^{\circ})=-cos(10^{\circ})}$

<h2>Learn more:</h2>

Trigonometric functions: brainly.com/question/2680050

#LearnWithBrainly

You might be interested in

What is A= 3000(1+.036/12)^72 Algebra 2 compound interest

mihalych1998 [28]

First we need to simplify $\frac{.036}{12}$ to 0.003.

We get 3000(1+0.003) $^{72}$

Now we simplify 1+0.0031+0.003 to 1.0031.003.

3000×1.00 $3^{72}$

Simplify {1.003}^{72}1.003 to 1.2407011.240701.

3000×1.240701

Then we simplify to 3722.103387.

Have an amazing day, thanks for using Brainly!

4 0

3 years ago

The instructions on a bottle of laundry detergent tell you to add two capfuls of detergent to each gallon of water. One capful o

Nikolay [14]

Answer:

A.You will need to add 22 tablespoons of detergent to a washing machine that holds 11 gallons of water

B. You will need to add 11 fluid ounces of detergent to a washing machine that holds 11 gallons of water

Step-by-step explanation:

1. Let's review all the information provided to answer the question:

2 capfuls of detergent to 1 gallon of water

1 capful of detergent = 1 tablespoon

2. If your washing machine holds 11 gallons of water, how many tablespoons of detergent will you need to add? How many fluid ounces of detergent?

For finding the amount of capfuls for 11 gallons of water, we multiply this way:

11 * 2 = 22 capfuls of detergent

Now, we can calculate the number of tablespoons, this way:

22 capfuls = 22 tablespoons

You will need to add 22 tablespoons of detergent to a washing machine that holds 11 gallons of water

Fiinally, let's calculate the amount of fluid ounces of detergent, this way:

1 tablespoon = 0.5 fluid ounces

22 tablespoons * 0.5 = 11 fluid ounces

You will need to add 11 fluid ounces of detergent to a washing machine that holds 11 gallons of water

4 0

3 years ago

Please, help with this question. For some reason I get really confused

vivado [14]

(6,21)
This is because the top (x) is going up by two each time and the bottom row (y) is adding seven

5 0

2 years ago

I need a answer soon please!

Evgesh-ka [11]

Answer:

Let there were total x people at the conference

so 32%of x is 216

32/100×x=216

x=216×100/32

x=675

So total people present at the conference were 675

8 0

2 years ago

Ill give brainliest for the correct answer and explanation!!

OleMash [197]

Answer:

false true true false false

Step-by-step explanation:

use percentage and divide by the number given

7 0

3 years ago

Read 2 more answers