All categories

3 years ago

Find all solutions in the interval [0,2π) of the equation.

Mathematics

1 answer:

Sauron [17]3 years ago

3 0

Step-by-step explanation:

2sin(x)cos(x) - sin(x) + 2cos(x)-1= 0

<=> sinx( 2cosx -1) + ( 2cosx -1) =0

<=> (sinx +1) + ( 2cosx-1)=0

<=> sinx=-1 or cosx= 1/2

+) sinx=1 => x= pi/2 + k×2pi

+)cosx=1/2 => x= pi/3+ k×2pi or x=-pi/3 + k×2pi

x€ [0,2pi] => x= pi/2, pi/3.

You might be interested in

On this day last year we got 14 inches of snow. This year we got 2 inches. What is the percent of change and is it an increase o

gizmo_the_mogwai [7]

Answer:D

Step-by-step explanation:

6 0

3 years ago

A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using a

arlik [135]

Answer:

Step-by-step explanation:

8 0

3 years ago

3.) mr. smith’s class sold wrapping paper for $3.50 each and mr. davis’ class sold magazines for $2.75 each. together, the class

igor_vitrenko [27]

Answer:

The number of wrapping paper sold was 32 and the number of magazines sold was 40

Step-by-step explanation:

Let

x ----> the number of wrapping paper sold

y ----> the number of magazines sold

we know that

The classes sold 72 items

$x+y=72$ ----> equation A

The classes earned $222 for their school

$3.50x+2.75y=222$ ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is (32,40)

see the attached figure

therefore

The number of wrapping paper sold was 32 and the number of magazines sold was 40

7 0

3 years ago

Is the fraction 14/42 equal to 6/2

PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

6/2=3

14/42=1/3=0.33333333333333333333

5 0

3 years ago

Read 2 more answers

A company makes a profit of $7 per software program and $8 per video game. The company can produce at most 90 software programs

g100num [7]

Answer:

930 dollars

Step-by-step explanation:

Let software programs = S

Video game = V

Given that a company makes a profit of $7 per software program that is, 7S and $8 per video game that is, 8V. The company can produce at most 90 software programs and at most 80 video games per week. Since the Total production cannot exceed 120 items per week.

How many items of each kind should be produced per week in order to maximize the profit?

The to get profit P

P = 7S + 8V

Since the profit on video game is higher, we will give maximum production to video game. Therefore,

P = (30 × 7) + ( 8 × 90)

P = 210 + 720

P = 930 dollars

6 0

3 years ago