solve 2sin(2x) - 2sinx +2sqrt3 cosx - sqrt3 = 0

Answers

Answer 1

Answer:

2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0

-----

4sin(x)cos(x) - 2sin(x) + 2sqrt(3)cos(x) - sqrt(3) = 0

-----

Factor:

2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0

-----

[2cos(x)-1][2sin(x)+sqrt(3)] = 0

Solve:

2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0

cos(x) = 1/2 or sin(x) = -sqrt(3)/2

x = +/-pi/3 or x = -pi/3 or (4/3)pi

hope this helps!

Answer 2

Answer:

x = +/-pi/3 or x = -pi/3 or (4/3)pi

Step-by-step explanation:

2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0

4sinxcosx - 2sinx + 2sqrt(3)cosx - sqrt(3) = 0

2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0

[2cos(x)-1][2sin(x)+sqrt(3)] = 0

2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0

cos(x) = 1/2 or sin(x) = -sqrt(3)/2

x = +/-pi/3 or x = -pi/3 or (4/3)pi


Related Questions

george ate 2/3 container

Answers

Answer:

Step-by-step explanation:

and threw up after yes

Find the area and perimeter of the original planned patio and the new planned patio. MIT HINDI MT Luis decided to make the patio 2 feet longer. The drawing shows his new plans for the patio. New planned patio 8 feet 10 feet 2 feet​

Answers

Answer:

original

perimeter - 36 feet

area - 80 square feet

new patio

perimeter - 40 feet

area - 96 square feet

How many minuets would it take me to get 10,000 points if I get 60 points every 5 minuets?

Answers

Step-by-step explanation:

833.3 I believe and u welcome if I'm right

It would take around 833.3 minutes to get 10,000 points

Hope this helps

Help please this is my last question to my test need help don’t pass this up

Answers

Answer:

I dunno... I'm sorry I can't help

Step-by-step explanation:

Answer:

2z

Step-by-step explanation:

PLZ ANSWER IF U KNOW THE ANSWER​

Answers

the answer is the last one -27/(-3)-9 .

can somebody help me please ..

Answers

Answer: Red

Step-by-step explanation:

The y intercept is -2 so its either green or red

the slope is positive so its red

What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer.

Answers

Answer:

x576 567 871 12 135 35l4367 89

Answer:

210cm

Step-by-step explanation:

54+66+30+42+18=210cm^2

Find the indicated term of the arithmetic sequence.

22nd term: a1 = 4; d = 4

The 22nd term of the arithmetic sequence is:
.

Answers

Answer:

88

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

plz give brainliest

which of the following are vertical asymptotes of the function y=2cot3[x]+4 check all that apply

Answers

This is your perfect answer

Answer:

According to a p e x the answers are x= pi, x=2pi, and x=+- pi/2

Given f(x) = 2^x and g(x)=x+1, (fog)(x)=​

Answers

Answer:

(f ○ g)(x) = [tex]2^{x+1}[/tex]

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

(f ○ g)(x)

= f(g(x))

= f(x + 1)

= [tex]2^{x+1}[/tex]

Answer:

B

Step-by-step explanation:

The cafeteria offers two snack options as shown in the table. Out of 18
students, 8 students choose Option B and the rest choose Option A. If the
total cost of option A is the same as the option B, what is the price of a
carton of milk?”

Answers

Answer:69,420

Step-by-step explanation:

9+10=21

The price of a carton of milk is $1.00

The given parameters are:

Number of students, n = 18Option A = 8

Since 8 chose option A, it means that 10 would choose option B

So, the equation that represents when both price are equal is:

[tex]8(2x + 0.5) = 10(x + 1)[/tex]

Where

2x + 0.5 represents the unit price of option A

x + 1 represents the unit price of option B

Open the brackets

[tex]16x + 4 = 10x + 10[/tex]

Collect like terms

[tex]16x - 10x = 10 - 4[/tex]

Evaluate the like terms

[tex]6x = 6[/tex]

Divide

[tex]x = 1[/tex]

Hence, the price of a carton of milk is $1.00

Read more about equivalent equations at:

https://brainly.com/question/2972832

2. Which of the following is the correct value of (0.22) - (0.4)? Show your reasoning. c. 0.088 d. 0.0088 w​

Answers

Answer:

C

Step-by-step explanation:

there would have to be one more zero between 0 and 8 for both of them

What is the greatest common factor of 48x3, 12x4, and 36x5?

Answers

12 is the greatest common factor

10 POINTS !!!! solve using elimination -2x - y = 5 3x -y = -20 ( , )

Answers

Answer:

(-5,5)

Step-by-step explanation:  add the equations in order to solve first variable. put the value in the other equations to solve the remaining variables- math  way

Proving Triangles Similar CFU
Determine if the triangles are similar. If similar, state how and complete the similarity
statement. If not similar, select N/A for the last two responses.
F
יח
12
18
8
14
10
2
21
Are the triangles similar?
How are they similar?
Complete the similarity statement: AY FN - A

Answers

Answer:

yes

they are similar because they are proportionally related

YRW

HELP PLEASE AND THANKYOU!!!l

Answers

X=-7

That’s the really answer
The answer would be x=-7 so the top person is correct:)

What is the slope and y intercept of this diagram

Answers

The Answer is 1/5 and 5

slope: 1/5 y-intercept: 5

WILL GIVE BRAINLIEST!

Answers

D)

Table D is the only table of the four that represents a graph in which, when x increases, y increases at a constant rate, like a linear graph should. This means that, when graphed, it would show a straight line, with slope 0.5

Graph the line.
y=-3x - 3

Answers

Step-by-step explanation:

:) <333333 .! :)))))))))

What is -23/6 - 7/3
A-37/6
B-30/9
C-16/6
D37/6​

Answers

Answer:

A

Step-by-step explanation:

i solved it

Evaluate the expression 2l + 2w for l = 5.7 and w = 6.2.

Answers

Answer:

so 5.7 square root is 2.45 so minus that by 2K and you get 3.4

Step-by-step explanation:

HELP FAST PLEASE!!! PLEASE

Indentify the interval on which the function is increasing.

Answers

Answer: [0,3]

The line is going up from left to right between 0 and 3 on the x-axis. We use a closed bracket because it is a open circle.

what is 110 is 350 what is the percent

Answers

Answer:

31.43

Step-by-step explanation:

Answer:

31.43%

Step-by-step explanation:

What is this? Please answer with an explanation

Answers

At 5 and you do this by setting the inside equal to 0 and solving for x

Answer:

x=9,30............etc

Step-by-step explanation:

if value of x=9 then

the function

value of f(x)=4

if x=30 then value of function f(x)=27

WILL GIVE BRAINLIEST TO EVER ANSWERS FASTEST WITH CORRECT ANSWER!

Answers

Answer:

9,450 feet

Step-by-step explanation:

WILL GIVE BRAIN IF YOU ANSWER CORRECT
Use properties to evaluate 7/5(1/4÷7/4)(-10)
O A. 5
O B. 2
O C. -2
O D. -5

Answers

Answer:

C

Step-by-step explanation:

First do what’s in the parentheses. Do copy flip flip

1/4 x 4/7 = 1/7

Then do multiplication 7/5 x 1/7 = 1/5

Then multiply 1/5 by -10 and you get -2

Answer:

C.) -2

Step-by-step explanation:

Have an amazing day luvs!!!!

xx

Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire scored. How many did the scored

Answers

Answer:

45

Step-by-step explanation:

yee

7.2 should be your answer :)

Which expression uses the associative property to make it easier to evaluate
(16- })?
OA. (16 )2
OB. ( 16)
Oc. 16(3)
OD. ( 16)

Answers

Answer:

Option B: (½•16)⅓

Step-by-step explanation:

The associative property states that we can add or multiply numbers in a group regardless of how those numbers are grouped. And that we will get the same answer.

For example;

x(y•z) = (x•y)z = (x•z)y

Now in our question, we want o evaluate; ½(16•⅓)

Using the associative property, the best expression will be: (½•16)⅓

It's the best expression because the terms in the bracket are easy to multiply out without remainder.

Thus, option B is correct

_______ is the highest point in the entire graph.

A. relative maximum
B. absolute maximum
C. relative minimum
D. relative maximum​

Answers

Answer:

B

Step-by-step explanation:

17 = 5 k - 2
k=?
I'm really in a hurry to figure out what K is, and if anyone really wants to do it, please tell me how to do it. Thank you.

Answers

Answer:[tex]\boxed{k=\frac{19}{5},~3\frac{4}{5},~3.8}[/tex]Solution Steps:

______________________________

1.) Swap sides so that all variable terms are on the left hand side:[tex]5k-2=17[/tex]

 - This is an optional step. I prefer the numbers to be on the left hand side, but it's not necessary.

Equation at the end of Step 1:

[tex]5k-2=17[/tex][tex]17=5k-2[/tex]

2.) Add 2 to both sides:[tex]-2+2=[/tex] Cancels Out[tex]17+2=19[/tex]

 - When solving problems like this, to get k alone you have to do the opposite of what you see.

 - In this case, we have a -2. So to get rid of -2 we do the opposite: +2 on each side.

Equation at the end of Step 2:

[tex]5k=19[/tex]

3.) Divide both sides by 5:[tex]5k[/tex] ÷ [tex]5=k[/tex][tex]19[/tex] ÷ [tex]5=3.8[/tex]

 - When solving problems like this, to get k alone you have to do the opposite of what you see.

 - In this case, we have 5 being multiplied by k. So to get rid of the 5 we do the opposite: Divide by 5 on each side.

______________________________

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