Cos3x+cosx=2cos2xcosx

Answers

Answer 1

Answer:

$cos(3x)+cos(x)=2\cdot cos\left((3x+x)/(2)\right)\cdot cos\left((3x-x)/(2)\right)=2\cdot cos(2x)\cdot cos(x).$

Green eyes.

Related Questions

PLEQAEEEE HELPPP MEEE
For two functions, m(x) and p(x), a statement is made that m(x) = p(x) at x = 7. What is definitely true about x = 7? (2 points)
Find the range of the following piecewise function. A. [2,16) B. (2,16] C. [2,∞) D. (2,∞)
1) In 2001, there were about 62.5 thousand golden retrievers registered in the United States. In 2002, the number was 56.1 thousand. If the number of golden retrievers continues to decrease at the same rate, how many golden retrievers are there in the year 2010?(A) 64 thousand (B) 12,864 (C) 4.9 thousand (D) 132.9 thousand
-6=-2+w solve the equation

The minimum monthly payment for Alicia's credit card is 2% of her balance or $10, whichever is higher. If Alicia's balance at the end of her last billing cycle was $470, what is her minimum monthly payment?

Answers

Answer:

Alicia's minimum monthly payment is $10.

Step-by-step explanation:

Given is :

Alicia's balance at the end of her last billing cycle was $470. So, its 2 % becomes:

$(2)/(100) *470$ = $9.40

As it is stated that the minimum monthly payment for Alicia's credit card is 2% of her balance or $10, whichever is higher.

Therefore, $10 is higher amount than $9.40

So, the correct answer is: Alicia's minimum monthly payment is $10.

Farmer has 120 bushels of wheat to sell at her roadside stand. She sells an average of 165
8 bushels each day. Represent the total change in the number of bushels she has for sale after 5 days.

Answers

Answer:

The total change in the number of bushels she has for sale after 5 days is 83.125 bushels

Step-by-step explanation:

The given parameters are;

The initial number pf bushels the farmer has = 120 bushels

The amount of bushels of wheat the farmer sells each day = 16⁵/₈ = 16.625

The number of bushels sold after 5 days = 16.625 × 5 = 83.125 bushels

The total change in the number of bushels she has for sale after 5 days = The number of bushels sold after 5 days

The total change in the number of bushels she has for sale after 5 days = 83.125 bushels.

What does the math term pie equal

Answers

Approximately = 3.14

Hope this helps!

it is pi and it equals 3.14159265359 hope this helps hope i am brainliest

A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of a chair, table, and of a desk.

Answers

$Chair=x$

$Table=y$

$Desk=z$

$\begin{Bmatrix}x+y&=&40\ny+z&=&83\nx+z&=&77\end{matrix}$

keep the first row as normal, then in the other ones, we can isolate Y and X

$\begin{Bmatrix}x+y&=&40\ny&=&83-z\nx&=&77-z\end{matrix}$

now we can replace at first row...

$\begin{Bmatrix}(77-z)+(83-z)&=&40\ny&=&83-z\nx&=&77-z\end{matrix}$

$\begin{Bmatrix}160-2z&=&40\ny&=&83-z\nx&=&77-z\end{matrix}$

$\begin{Bmatrix}-2z&=&40-160\ny&=&83-z\nx&=&77-z\end{matrix}$

$\begin{Bmatrix}-2z&=&-120\ny&=&83-z\nx&=&77-z\end{matrix}$

$\begin{Bmatrix}z&=&60\ny&=&83-z\nx&=&77-z\end{matrix}$

now we can replace the Z to discovery the other value

$\begin{Bmatrix}z&=&60\ny&=&83-60\nx&=&77-60\end{matrix}$

$\boxed{\boxed{\boxed{\begin{Bmatrix}Chair&=&17\nTable&=&23\nDesk&=&60\end{matrix}}}}$

An 85-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground. How high is the top of the tree house? Round your answer to the nearest tenth of a foot.

Answers

For this case we can model the problem as a rectangle triangle.
We have the hypotenuse and the angle.
We want to find the height.
For this, we use the following trigonometric relationship:
sine (x) = C.O / h
Where,
x: angle
C.O: opposite leg
h: hypotenuse
Clearing C.O we have:
C.O = 85 * sine (45)
C.O = 60.1040764
Round to the nearest tenth of a foot:
C.O = 60 feet
Answer:
the top of the tree house is 60 feet high

Answer:

sin 45=x/85

85 sin 45=x

x=60.104

nearest 10th is 60.1 ft

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!What is the sum of the first 7 terms of the series − 3 + 6 − 12 + 24 −... ?