Ask question

Ask question

All categories

3 years ago

11

Find all solutions to the equation in the interval [0, 2π). cos 2x - cos x = 0

2 answers:

IRISSAK [1]3 years ago

6 0

Answer:

The other answer is correct here except it is missing the answer 4pi/3

other wise its correct. The answers are 0, 2pi/3, and 4pi/3

Step-by-step explanation:

see previous answer

Jlenok [28]3 years ago

4 0

This is the concept of algebra, to solve the expression we proceed as follows;
cos 2x-cosx=0
cos 2x=cosx
but:
cos 2x+1=2(cos^2x)
thereore;
from:
cos 2x=cos x
adding 1 on both sides we get:
cos 2x+1=cos x+1
2(cos^2x)=cosx+1
suppose;
cos x=a
thus;
2a^2=a+1
a^2-1/2a-1/2=0
solving the above quadratic we get:
a=-0.5 and a=1
when a=-0.5
cosx=-0.5
x=120=2/3π
when x=1
cos x=1
x=0
the answer is:
x=0 or x=2/3π

You might be interested in

Mathematics algebra

Alexxx [7]

Answer:

⇒ $1\frac{1}{3}m-1\frac{1}{2}n-4\frac{1}{2}$

Step-by-step explanation:

$\frac{4m}{3}-\frac{3(n+3)}{2}$
$\frac{4m}{3}-\frac{3n+9}{2}$
$\frac{4m}{3}-\frac{3n}{2}-\frac{9}{2}$
$1\frac{1}{3}m-1\frac{1}{2}n-4\frac{1}{2}$

5 0

3 years ago

If a line is perfectly vertical, meaning it reaches all y- at a single x-, which kind of slope does it have?

Aliun [14]

Answer:

B. Undefined

Step-by-step explanation:

A function cannot have more than one x value with different y values. A vertical line means this happens infinite times. It is undefined.

7 0

3 years ago

Multiply each binomial and find the coefficients.

Bas_tet [7]

Answers:

Row one: 1 and 1

Row two: 1, 2, and 1

Row three: 1, 3, 3, and 1

Row four: 1, 4, 6, 4, and 1

=========================================

Explanation:

Each value can be found in Pascal's triangle. You can also use the nCr combination formula to get each value. The nCr formula is

$_n C _r = \frac{n!}{r!(n-r)!}$

The value of n represents the row number. The r value is the column number, so to speak, for each row.

5 0

2 years ago

Rudy, Maria, and Tito have a total of x textbooks Rudy has 6 textbooks andTito and Maria each have y textbooks. How many textboo

shtirl [24]

Answer:

Tito have $\frac{x-6}{2}$ textbooks in terms of x

Step-by-step explanation:

Rudy has 6 textbooks

We are given that Tito and Maria each have y textbooks

So, Tito has no. of books = y

Maria has no. of books = y

So, total number of textbooks = 6+y+y=6+2y

We are given that Rudy, Maria, and Tito have a total of x textbooks

So,6+2y=x

So, 2y=x-6

$y=\frac{x-6}{2}$

Hence Tito have $\frac{x-6}{2}$ textbooks in terms of x

6 0

3 years ago

A scarf is a triangle with two perpendicular sides that are the same length. Which two terms describe the triangular scarf? A. i

timurjin [86]

Answer:

A triangular scarf is an isosceles right triangle.

Step-by-step explanation:

Given: A scarf is a triangle with two perpendicular sides that are the same length.

We have to name which two terms describe a triangular scarf.

Isosceles triangle is a triangle with length of two of its sides equal.

Right angled triangle is a triangle in which one angle is a right angle.

Given :

The two sides of scarf are perpendicular to each other.

Thus, the angle formed between them is 90°. Hence, right angled triangle.

Also, length of two sides are same, Hence isosceles triangle.

Thus,a triangular scarf is an isosceles right triangle.

6 0

2 years ago