Find the solution(s) to the equation sin(x/2) + cos x - 1 = 0 on the interval 0 less than or equal to x 2pie

Answers: A,B, and E

Answers

Answer 1

Answer:

A: 0

B: pi/3

E: 5pi/3

Step-by-step explanation:

Find The Solution(s) To The Equation Sin(x/2) + Cos X - 1 = 0 On The Interval 0 Less Than Or Equal To
Answer 2

The solution to the trigonometric equation is 0 , π/3 , 5π/3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric equation be represented as A

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

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

On further simplification , we get

( 1 - cos ( x ) ) = 2sin² ( x/2 )

So , sin ( x/2 ) - 2sin² ( x/2 ) = 0

Taking sin ( x/2 ) as the common factor , we get

sin ( x/2 ) ( 1 - 2sin ( x/2 ) ) = 0

So , the solutions to the equation are

sin ( x/2 ) = 0

x = 0 , 2π

And , ( 1 - 2sin ( x/2 ) ) = 0

sin ( x/2 ) = 1/2

x = π/3 , 5π/3

Hence , the solutions are x = 0 , π/3 , 5π/3

To learn more about trigonometric relations click :

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Related Questions

Which two operations are needed to write the expression that represents "five less than the quotient of a number anc
three"?
multiplication and subtraction
division and subtraction
multiplication and addition
division and addition

Answers

Division and subtraction

Answer:

Division and subtraction/B

have a good day/night :)

2/5k - 3 1/2. K= 15
EVALUATE

Answers

Exact form
K=-150\31

Answer:

Solving the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] we get [tex]\mathbf{K=\frac{-150}{31} \ or \ \ K=-4\frac{26}{31} }[/tex]

Step-by-step explanation:

We need to solve the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] and find value of k

Solving:

[tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex]

Convert mixed fraction into improper fraction

[tex]\frac{2}{5}K-\frac{7}{2}K =15[/tex]

Taking LCM of 5 and 2 we get 10

[tex]\frac{2*2K-7*5K}{10} =15\\\frac{4K-35K}{10} =15\\\frac{-31K}{10} =15[/tex]

Divide both sides by -31/10

[tex]\frac{-31K}{10}*\frac{-10}{31}=15* \frac{-10}{31}\\K=\frac{-150}{31} \\K=-4\frac{26}{31}[/tex]

So, solving the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] we get [tex]\mathbf{K=\frac{-150}{31} \ or \ \ K=-4\frac{26}{31} }[/tex]

hi i need help for this question, what's the slope for this

Answers

Answer:

sorry for being late  :P

Step-by-step explanation:

slope = rise / run

by inspection of the graph.. it looks like the line goes over 2 units and then up one unit  so   1/2.... and b/c it's going up... like up hill.. it's positive...

+ 1/2  is the slope

The perimeter of a square is equal to the perimeter of an equilateral triangle. The length of a side of the square is given by x, and the length of a side of the equilateral triangle is given by x + 1. Which equation can be used to find the value of x?
x = 3 (x + 1)
3 x = 4 (x + 1)
4 x = 3 (x + 1)
x = x + 1

Answers

perimeter of square =4x

4x=equilateral triangle perimeter

4x=3.1

x=3/4

Answer:

4x=3(x+1)

Step-by-step explanation:

4.
Given sin 0 = { and angle 0 is in Quadrant II, what is the exact value of cos 0 in
simplest form? Simplify all radicals if needed.

Answers

Answer:

Sin0= y/r

X= -4 and r= 9 (radius is also the hypotenuse)

In quadrant II y is positive

X^2 +y^2 = r^2

-4^2 + y^2 = 9^2

16 + y^2 = 81

Y^2 = 81-16

Y^2 = 65

Y= sqrt65

Sin0= sqrt65/9

Step-by-step explanation:

I really need help I don’t know what todo I will do anything to get the best answer.(if u do 20 I will give 100 points and brain list on next question)!!YOU DONT HAVE TO DO 19 ONLY 17 18 AND 20!!

Answers

Answer:

20.) Some charateristics to look for are "what's its leaf shape?" , "does this plant have spores?" , "does it have no leaves?" and "is it a vascular or non-vascular plant?". By naming its charateristics we can infer that it must be a fungus. This means its root system attaches to other plant roots in order to get nutrients for itself.

18.) If we observe the charateristics of the moss we might get an answer. Moss needs water in order to survive since it is the source of nutrients for the moss. The reason why the moss turned green after the rainstorm was because it got the nutrients it needed so it caused the moss to flourish again.

17.) We can use models to compare and contrast plant and fungus cells. By using evidence we can include that both the plant and fungus cells have some common characteristics, however plants are autotrophic, making their own energy, and have cell walls made of cellulose, but fungi are heterotrophic taking in food for energy and have cell walls made of chitin.

Step-by-step explanation:

How many integers are there between -12 and 12?

Answers

-24 hope this helped!!!!!!!!!

Ade is baking mini-loaves of bread. How many mini-loaves could he make with 10 cups of flour?

Answers

Answer: 25

Step-by-step explanation:

Since Ade uses 2 cups of flours for 5 mini loaves, it simply means that 1 cup of flour will be used for:

= 5/2 = 2.5 mini loaves

Therefore, the number of mini-loaves that he could make with 10 cups of flour would be:

= 10 × 2.5

= 25 mini loaves

100 and brainliest if you tell me ur favorite anime :]

Answers

Answer:

my fav anime is naruto :)

Step-by-step explanation:

Answer:

naruto and MHA

Step-by-step explanation:

HELPPPPPPPPPPPP!!! PLEASEEEEEE!! I NEED THIS RIGHT NOWWWW

Answers

Answer:

h = 15.13 cm

Step-by-step explanation:

Lateral Surface Area of a Cone

Given a right circular cone of base radius r and height h, the lateral surface area is given by:

[tex]A=\pi r\sqrt{r^2+h^2}[/tex]

We are given the lateral area of a funnel as A=236.64 square cm and the radius is r=4.75 cm. It's required to find the height of the cone. It can be calculated by solving for h.

Squaring:

[tex]A^2=\pi^2 r^2(r^2+h^2)[/tex]

Dividing by [tex]\pi r^2[/tex]

[tex]\displaystyle \frac{A^2}{\pi^2 r^2}=r^2+h^2[/tex]

Subtracting [tex]r^2[/tex]:

[tex]\displaystyle \frac{A^2}{\pi^2 r^2}-r^2=h^2[/tex]

Taking square root:

[tex]\displaystyle h=\sqrt{ \frac{A^2}{\pi^2 r^2}-r^2}[/tex]

Substituting the values:

[tex]\displaystyle h=\sqrt{ 251.472-22.5625}[/tex]

[tex]\displaystyle h=\sqrt{ 228.909}[/tex]

h = 15.13 cm

Nate walks 3/5 mile in 1/2 hour. How fast did he walk, in miles per hours

Answers

Answer:

1 1/5 miles per hour

Step-by-step explanation:

multiply 3/5 and 1/2 and then you would get your answer

Speed = distance/ time

speed = 3/5 ÷ 1/2

speed = 3/5*2

speed = 6/5mph or 1.2 mph

please mark as brainlist

what does a decimal look like

Answers

Answer:

It could look like 3.2, 0.9, 22.64 it is a number that has a decimal point in it somewhere

Step-by-step explanation:

What is the difference of the fractions? 7/8 - 5/8

Answers

Answer:

7/8 - 5/8 = 2/8. 2/8 simplified is 1/4

Step-by-step explanation:

P.S Can I have brainliest?

On Thursday, a website received x advertisement orders. On Friday, the website received 8 more advertisement orders than on Thursday. The expression 2x + 8 represents the total number of advertisement orders received over two days.

What does the "+8" mean in the expression 2x + 8?


how many more advertisements were ordered on Friday than Thursday

the number of days

the number of advertisement ordered on Friday

the total number of advertisement on both days

I NEED HELP ASAP PLS

Answers

Answer:

What does the "+8" mean in the expression 2x + 8?

The +8 is the 8 more advertisement orders received on Friday.

It's 8 more than x.

How many more advertisements were ordered on Friday than Thursday

8

The number of days

2

The number of advertisement ordered on Friday

x + 8

The total number of advertisement on both days

2x + 8

Answer:

A

Step-by-step explanation:

I took the test

20 PTS PLEASE HELP ASAP!

Answers

Answer:

Slope is 1/2

Step-by-step explanation:

Use the slope formula. Say S = the 1st point and T = the 2nd point.

m = 20 - 10                    10                 1

     ------------      =      -----------    =      ---

      20 - 0                     20                2

The equation for slope is also y = mx + b

m is the slope, b is the y-intercept.

Therefore, if you look at the 1st choice, you can see that 1/2 is in the place of m, meaning that 1/2 is the slope of line ST

I dunno how to do the other way

Jasmine spent $98.80 on shirts. Fancy shirts cost $22.20 and plain shirts
cost $13.60. If she bought a total of 6 then how many of each kind did she
buy?

Answers

i need help with a problem i posted on my page please help me out

Quick question um doing this assignment what numbers are divisible by 4 and 6 ?

Answers

The answer should be 2 it only makes sense

36,360,24,240,12,120, I think there might be more but this is all I could think of rn sorry

Find the length of side x in the simplest radical form with a rational denominator.

Answers

The answer is 60 or 15 because you need to have 150 for a triangle

WILL GIVE BRAINLIEST! NEED HELP! THANK YOU
A line passes through the points (−4,−9) and (−2,−6). What is the equation of the line in Slope-Intercept Form?

y=2/3x+3

y=3/2x+3

y=3/2x−3

y=2/3x−3

Answers

Answer:

y= 3/2x-3

Step-by-step explanation:

m= y2-y1/x2-x1

m= -6-(-9)/-4-(-2)

m= 3/2

y= mx+b

y= 3/2x+b

-9=3/2*-6+b

Excluding hydropower, U.S. power plants used renewable energy sources to generate 105 million megawatt
hours of electricity in 2007. By 2012, the amount of electricity generated had increased to 219 million megawatt
hours.
Use the model to predict the number of megawatt hours that will be generated in 2017.

Answers

There will be 333 million megawatt hours in 2017

Answer:

333,000,000

Step-by-step explanation:

HELPPPP PLEASEEE!!!

Answers

ik the answer is 3 ik it is

Evaluate
f(x) ={5x-1, if x< -2
{x+3, if x is greater than or equal to -2
When x=5

f(5)=?

Answers

Answer:

5f

Step-by-step explanation:

Two friends are going to the mall to buy pizza. One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75. Her friend purchases 2 chese slices and 3 pepperoni slices for $15.00. Find the cost of each.

Answers

Answer:

The cost of each:

1 cheese slice = c = $3.75

1 pepperoni slice = p = $2.5

Step-by-step explanation:

Let the cost:

1 cheese slice = c

1 pepperoni slice = p

Two friends are going to the mall to buy pizza.

One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75.

c + 2p = $8.75.....Equation 1

c = $8.75 - 2p

Her friend purchases 2 chese slices and 3 pepperoni slices for $15.00.

2c + 3p = $15.00.....Equation 2

We substitute 8.75 - 2p for c in Equation 2

2(8.75 - 2p) + 3p = $15.00

17.5 - 4p + 3p = 15

Collect like terms

- 4p + 3p = 15 - 17.5

-p = -2.5

p = $2.5

c = $8.75 - 2p

c = $8.75 - 2(2.5)

c = $8.75 - 5.0

c = $3.75

The cost of each:

1 cheese slice = c = $3.75

1 pepperoni slice = p = $2.5

Pepay had 0.37 inches of yarn, Riza had 0.45 inch of yarn too. Their friend Lala asked to borrow 0.25 inch of yarn that they have. What is the length of the remaining yarn?

Answers

Answer:

0.57 inches was left

Step-by-step explanation:

Here, we start by calculating the total length of the yam they have

Mathematically, that will be 0.37 + 0.45 = 0.82 inch

Now, to get what is remaining, we subtract what was borrowed

Mathematically, that is 0.82-0.25 = 0.57 inches

How many degrees warmer is a temperature of 13°F than a temperature of -19°F?

-6°F
-32°F
6°F
32°F

Answers

32 Since this is asking how much warmer or “how much more” you just add 19 to 13.

Answer:

32°F

Step-by-step explanation:

Write an equation of a line parallel to this line:
y - 1 = -3(x + 4)

Answers

Answer:

Step-by-step explanation:

y-1 =-3x-12

Equation of a line is y=mx+c

y=-3x-12 +1

y= -3x -11

parallel lines men you can use the same gradient so e,g y=-3x+12

Plz help will mark brainliest :)
(For both drop down menus)
A. An even
B. An odd
C. Neither an even nor an odd

Answers

Answer:

A.

Step-by-step explanation:

A normal population has a mean m=33 and standard deviation s = 9.  What is the probability that a randomly chosen value will be greater than 44?

Answers

55 I actually don’t know the real answer

What is the slope of the line that contains these points? (12,-4) (13,2) (14,8) (15,14)​

Answers

Answer:

6

any more help just ask :)

Find the radius of the circle which has the same area
as the combined area of a circle of radius 12 cm and a
circle of radius 5 cm.​

Answers

Answer:

13 cm

Step-by-step explanation:

We can get the answer in the following way:

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