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

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

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

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

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 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

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

Answers

12 is the greatest common factor

_______ 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:

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:)

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

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

george ate 2/3 container

Answers

Answer:

Step-by-step explanation:

and threw up after yes

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:

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

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.

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

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

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

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:

What is the slope and y intercept of this diagram

Answers

The Answer is 1/5 and 5

slope: 1/5 y-intercept: 5

Graph the line.
y=-3x - 3

Answers

Step-by-step explanation:

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

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

what is 110 is 350 what is the percent

Answers

Answer:

31.43

Step-by-step explanation:

Answer:

31.43%

Step-by-step explanation:

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

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

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 :)

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.

______________________________

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:

PLZ ANSWER IF U KNOW THE ANSWER​

Answers

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

WILL GIVE BRAINLIEST TO EVER ANSWERS FASTEST WITH CORRECT ANSWER!

Answers

Answer:

9,450 feet

Step-by-step explanation:

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