Over the interval [0, 2pi), what are the solutions to cos(2x) = cos(x)? Check all that apply.
Answers
Answer:0, 2pi/3, 4pi/3
Step-by-step explanation:
did on edge
The solutions that satisfy Sin(2x) = Sin(x) are; 0,π/3, π, 5π/3. The options that satisfy the condition are 1,2,4 and 6.
What is meant by a trigonometric ratio?In mathematics, trigonometric functions (also known as circular functions, angle functions, or goniometric functions) are real functions that relate an angle of a right-angled triangle to ratios of two side lengths.
Given the interval is [0, 2pi)
Sin(2x) = Sin(x)
By checking all the options;
1) Sin 2(0)=sin0
Sin0=Sin0
Therefore, option 1 is correct
2) Sin 2x= Sin x
2Sin x Cos x= Sin x
2 Cos x=1
Cos x=1/2
Cos x= Cos π/3
x=π/3
Therefore, option 2 is correct.
3) Sin2(2π/3) = Sin(2π/3)
Sin(4π/3)=Sin(2π/3)
Sin 240°=Sin 20°
-√3/2≠√3/2
Therefore, option 3 is wrong
4) Sin(2π)=Sinπ
2Sinπ Cosπ=Sinπ
2×0×(-1)=0
Therefore, option 4 is correct
5) Sin 2(4π/3)= Sin(4π/3)
Sin 480°=Sin 240°
2 Sin 240° x Cos 240°= Sin 240°
2(-√3/2)(-1/2)= -√3/2
√3/2≠-√3/2
Therefore, option 5 is wrong
6) Sin 2(5π/3)= Sin(5π/3)
2 Sin(5π/3)Cos (5π/3)=Sin(5π/3)
Cos(5π/3)=1/2
Therefore, option 6 is correct.
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Related Questions
Miguel's town voted on a new speed limit. Of the votes received, 16 were in favor of the new
speed limit and 16 were opposed. What percentage of the votes were in favor of the new
speed limit?
Write your answer using a percent sign (%).
Answers
Answer:
Exactly 50% of the votes were in favor of a new speed limit.
Step-by-step explanation:
We are given that 16 votes were in favor of a new speed limit and 16 votes were not. From this, we can determine the total amount of votes.
[tex]16 + 16 = 32 \ \text{total votes}[/tex]
Then, using this information we can find the percentage of how many were in favor of the vote.
If 16 of the votes were in favor, we can divide these votes by the total votes to get a percentage.
[tex]\displaystyle \frac{16}{32}=\frac{8}{16}=\frac{4}{8}=\frac{2}{4}=\frac{1}{2}=0.5[/tex]
Then, we multiply this decimal by 100 in order to convert our answer to a percentage form.
[tex]\displaystyle 0.5 \times 100 = 50\%[/tex]
Therefore, 50%, or half of the voters, were in favor of a new speed limit.
FIRST TO ACTUALLY SOLVE THIS GETS THE BRAINLIEST, NO EXCEPTIONS! Don't even try unless you're serious about this!
Answers
Answer:
(w -9)^2
Step-by-step explanation:
Factors of 18 please I’m on a test
Answers
Answer:
1, 2, 3, 6, 9, 18
Step-by-step explanation:
You are on a test so I will not waste your time :)
2/3 divided by 1/4. ASAP
Answers
Answer:
2/6?
Step-by-step explanation:
Answer:
The answer is 8/3
Step-by-step explanation:
MY CAT IS SCREAMING AT ME
Answers
Answer:
why is your cat screaming at you?
Step-by-step explanation:
25.36*3.41
The answer is 86.4776
Answers
Answer:
True
Step-by-step explanation:
Will a truck that is 10 feet wide carrying a load that reaches 12 feet above the ground clear the semielliptical arch on the one-way road that passes under the bridge shown in the figure on the right? 13 ft --- 52 ft It will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately (Round to two decimal places as needed.) feet.
Answers
Figure is missing, so i have attached it.
Answer:
it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft
Step-by-step explanation:
The standard form of equation of an ellipse is;
x²/a² + y²/b² = 1
From the figure in the image attached, we can see that the radius is; a = 52/2 = 26 ft
While the value of b = 13 ft
Thus;
x²/26² + y²/13² = 1
x²/676 + y²/169 = 1
We want to find the height of the archway of the bridge 5 feet from the center.
Thus, we will plug in 5 for x to get;
5²/676 + y²/169 = 1
(25/676) + (y²/169) = 1
Multiply through by 676 to get;
25 + 4y² = 676
4y² = 676 - 25
y² = 651/4
y² = 162.75
y = 12.76 ft
Thus height of the truck is 12 ft and so it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft
Height of the archway 5 feet from the center is required.
The height of the archway 5 feet away from the center is 12.757 feet.
Semi-major axis = [tex]a=\dfrac{52}{2}=26\ \text{feet}[/tex]
Semi-minor axis = [tex]b=13\ \text{feet}[/tex]
The formula for ellipse is
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\Rightarrow \dfrac{x^2}{26^2}+\dfrac{y^2}{13^2}=1[/tex]
At 10 feet is the width of the truck.
The truck is passing through the center so the [tex]x=\dfrac{10}{2}=5[/tex]
[tex]\dfrac{5^2}{26^2}+\dfrac{y^2}{13^2}=1\\\Rightarrow y=\sqrt{(1-\dfrac{5^2}{26^2})\times 13^2}\\\Rightarrow y=12.757\ \text{feet}[/tex]
Now [tex]y=12.757\ \text{feet}>12\ \text{feet}[/tex]
So, the height of the archway 5 feet away from the center is 12.757 feet.
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How much time, in seconds, did the vehicle in this diagram spend STOPPED?
Answers
Answer:
like 10 i think
Step-by-step explanation:
the flat line is the time it spends stopped im pretty sure so that would be 10 seconds
4. Levi bought two Rescue Bots for $7.50 each and three DVDs for $5.25
each. How much money did he spend? *
A. $12.75
B. $25.50
C. $30.75
D. $39.38
Answers
Answer:
A. 7.50+5.25= 12.75........
Answer:
C.
Step-by-step explanation:
Two bots 7.50 each
Three DVDs 5.25 each
2 x 7.50 = 15
3 x 5.25 = 15.75
15 + 15.75 = 30.75
$30.75
I need help on how to do the percentage
Answers
Answer:
8%
Step-by-step explanation:
Help me with this question pleaseee
Answers
Answer:
angle 13 is congruent to angle 10 (verticals)
angle 10 and angle 7 are opposites
angle 7 is congruent to angle 4 (verticals)
Which points are separated by a distance of 5 units?
O A. (2, 1)
(2,4)
O B. (3,8)
(3,7)
O C. (4,5)
(4,1)
O D. (1.4)
(1,9)
Please hurry
Answers
Answer:
D. (1,4) (1,9)
Because 9 - 4 = 5 so yea
Find the value of X, I need help solving this.
Answers
Answer:
The answer is 21
Step-by-step explanation:
21x4+2=86
Answer:
C) 21
Step-by-step explanation:
The given angles are vertical so they have the same measurement
4x + 2 = 86° subtract 2 from both sides
4x = 84 divide both sides by 4
x = 21
What power of 10 makes the number 7 equal to 700?
Answers
Answer:
2
Step-by-step explanation:
7x 10squared is 700. 10 squared is 100 7x 100 is 700
Hope this helps plz mark brainliest ;D
Answer:
7*[tex]10^{2}[/tex]
Step-by-step explanation:
Use the commutative property of multiplication to rewrite 10 • 5 • 12. Which expression is equivalent?A.10 • 5 • (5 + 5)B.10 + 5 + 12.C.(10 • 5) + 12D.10 • 12 • 5
Answers
Answer: D
Step-by-step explanation:
Find the angle complementary to 64.25°
Answers
Answer:
25.75° degrees
Step-by-step explanation:
Complementary angles are two angles that add to 90 degrees. This means that the complementary angle to 64.25 would be:
90 - 64.25
= 25.75°
A company wants to test a new brand of dog food that has added omega-3 oils for healthy, shiny coats.
The company selects two groups of volunteers who have dogs as pets. They give each person in both groups a month's supply of dog food. Each bag of dog food is unlabeled. One group is given the dog food with the added omega-3 oils, and the other group is given a brand of dog food without the added omega-3 oils. Both groups are asked to feed their dogs the food the company gave them and report whether they noticed an improvement in their dogs' coats.
Which statement is correct?
A.
The experiment is blinded because the volunteers in both groups and the company are all unaware of which group received the dog food with omega-3 oils.
B.
The experiment is not blinded because the volunteers in both groups and the company are all unaware of which group received the dog food with omega-3 oils.
C.
The experiment is blinded because the volunteers in both groups are unaware of which dog food they received.
D.
The experiment is not blinded because the volunteers in both groups are aware of which type of dog food they received.
Answers
Answer: The experiment is blinded because the volunteers in both groups are unaware of which dog food they received.
The statement which is correct about the experiment given to both volunteers is "The experiment is blinded because the volunteers in both groups are unaware of which dog food they received".
What is an experiment?An experiment refers to a test under controlled conditions made to either demonstrate a known truth, examine the validity of a hypothesis or determine the efficacy of something previously untried.
The experiment is blinded to the two volunteer groups because the supply of dog food given to both groups is unlabeled and they are both unaware of the food supply which contains the omega-3 oils.
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The line crosses the y-axis at ___________?
Answers
Answer:
The answer is -6. Hope it helps!
Amber and Jimmy both drove their cars to a theme park. They both drove a steady pace for most of the trip. It took Amber exactly 2 hours to travel the 153 miles to the park. Jimmy's trip is modeled by the graph below.
Answers
Hope this helps!
Amber and Jimmy's speed for driving their cars to the theme park is 76.5 miles per hour.
What is speed?Speed refers to the rate of movement of a vehicle or person.
The speed can be computed by dividing the total distance by the time consumed.
Data and Calculations:Total distance = 153 miles
Time is taken to cover distance = 2 hours
Speed per hour = 76.5 miles (153/2)
Question Completion:What is Amber and Jimmy's speed?
Thus, Amber and Jimmy's speed for driving their cars to the theme park is 76.5 miles per hour.
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az+3z=bz+5
Lol help me
Answers
Answer:
a= -3 + b + 5/z Thats solved by factoring
let me k ow if you need more
Step-by-step explanation:
CAN ANYBODY PLEASE HELP I NEED HELP ASAPPPP ILLL GIVE BRAINLIEST
Answers
Answer:
The answer is d because it's the answer pls mark me brainlest
6. A cash register contains $10 bills and $50 bills with a total value of $1080. If there are 28 bills total, then how many of each does the register contain?
Answers
Answer:
19 of each
Step-by-step explanation:
Solve the following equation.
5x + 8 - 3x = -10
о
X = -9
O
X = -1
X = 1
O
X = 9
Help
Answers
Answer:
-9
Step-by-step explanation:
5x-3x=-10-8
2x= -18
x=-18/2
= -9
Solution of the expression is,
⇒ x = - 9
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Equation is,
⇒ 5x + 8 - 3x = -10
Now, We can simplify as;
⇒ 5x + 8 - 3x = -10
⇒ 2x = - 10 - 8
⇒ 2x = - 18
⇒ x = - 18/2
⇒ x = - 9
Thus, Solution of the expression is,
⇒ x = - 9
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AT THE END OF THE HARVEST SEASON. OMAR WONDERS IF IT IS TIME TO COVER THE GARDEN
Answers
Answer:
BONUS: At the end of the harvest season, Omar wonders if it is time to cover the garden with a tarp. He understands that as the temperature decreases, … moisture in the air condenses into dew which freeze at 0°C and may damage the plants in the garden. At 4:00 P.M., the temperature is 5°C.
Step-by-step explanation:
What is the square foot of 2
Answers
(HELP ASAP) ILL GIVE BRAINIEST
Find the slope of the line.
(in pic)
Answers
Answer:
The slope is -4/3. It is making me type out 20 characters. turn that off please
It takes Carlos and Jeffrey 2.25 hours to shovel snow the snow off 3 driveways in there neighborhood. How long does it take them to shovel 1 driveway
Answers
Answer:
its 1.125
Step-by-step explanation:
well 2.25 divided by 3 is 1.125
I WILL MARK BRAINIEST
Answers
Answer:
m1 = x
m2 = 180 - x
m4 = 180 -x
Maria went to the store to buy new shirts for school. Each shirt cost $8.79. Maria buys 12 shirts for school. How much will Maria spend on all of the shirts?
Answers
Answer:
Maria will spend $105.48 on all of the shirts.
Step-by-step explanation:
Multiply 8.79 by 12 :)
Answer:
105.48
Step-by-step explanation:
If each shirt costs 8.79 then you need to multiply 8.79 by 12 because she bought 12 shirts to get 105.48. I hope this helped!
Help please thank you
Answers
Answer:
20
Step-by-step explanation:
Answer:
20 i am telling the truth
Step-by-step explanation:
