Arrange the steps in the correct order to solve this trigonometric equation 2sin^2 x -sinx -1 =0 for 0 degrees is less than or equal to x is less than or equal to 90 degrees

Answers

Answer 1

Answer:

90°

Step-by-step explanation:

Given the trigonometry equation;

[tex]2sin^2 x -sinx -1 =0[/tex]

Step 1; Let p = sin(x) to have;

[tex]2sin^2 x -sinx -1 =0\\2P^2 -P -1 =0[/tex]

Step 2: factorize the resulting quadratic equation:

[tex]2P^2 -P -1 =0\\2P^2 -2P+P -1 =0\\\2P(P-1)+1(P-1)=0\\(2P+1)(P-1) = 0\\2P + 1 = 0 \ and \ P-1 = 0\\P = -1/2 \ and \ P =1[/tex]

Step 3: Find x:

when p = 1

sin(x) = 1

[tex]x = sin^{-1}1\\x = 90^0[/tex]

also when p  -1/2

sin (x) = -1/2

[tex]x = sin^{-1}-1/2\\x = -30^0\\[/tex]

[tex]x = 180-30\\x = 150^0[/tex]

Since 150° is not within the range 0<x<90, then the only solution is 90°


Related Questions

Which ratio is equivalent to 3:9?
O 24:54
O 18:54
O 36:81

Answers

answer: 18:54
:))) have a good day.

I need you to solve this question for me it is about 2020
If you walking on a ice cream at 5 ounces per toaster, and your bicycle losses a sock how much gravy would you need to repaint your hamster?

Answers

We use the formula y=mx+b and we replace the variables with the amount of coffee that I drink in 1 day and the answer is 5 years

Marie works for the electric company. She earns $10 per hour working 40 hours a week.
She gets 1.5 times her pay in overtime for any hours worked over 40 hours. If she
worked 50 hours in a week, how much would Marie make?
0 $400
$1,000
$550
$500

Answers

Answer:

$550

Step-by-step explanation:

She worked 50 hours. You can subtract the original 40 hours from that 50 and multiply it by 10 giving her a $400 weekly income. Now, you have to add the overtime hours. She worked 10 extra hours and she is earning 1.5 times her normal hourly pay for these hours. $10 (Her normal hourly pay) times 1.5 is $15 per hour. Now, multiply the number of extra hours by 15. This is a total of $150. So, in total, she earned $550 dollars that week.

Answer:

The answer is $550

Step-by-step explanation:

Just took the test

Which equation is equivalent to y=2/3x−6

Answers

Step-by-step explanation:

I'm assuming this question is multiple choice, as there are several answers. y=x-18 is one, if that's an option. if you gave me the rest of the question, I might be able to help more :)

i need help please
its pretty urgent

Answers

~A ~Because you multiply five times D equals 5D +5×1=5

Harrison has 70 CDs in his music collection.
If 30% of the CDs are country music and 50% are pop music, how many CDs are other types of music?
There are
CDs that are other types of music.

Answers

Answer:

14

Step-by-step explanation:

First, find the percentage of the other types of music.

Since 30 + 50 = 80, the other 20% will be other music.

To find 20% of 70, multiply 70 by 0.2:

70(0.2)

= 14

So, there are 14 CDs that are other types of music.

How do I find the missing sides in this triangle?

Answers

Explanation: Use trig ratios to find the sides. In this case, you’d use cos theta = adjacent / hypotenuse

These are my notes on trig ratios from last year. Hope this helps! :)

There are 10 boys in a class of 15 people. create a ratio of boys to girls simplify

Answers

Answer:

10:5

Step-by-step explanation:

Answeer

2 to 3. ... On many GMAT questions, you will be given a ratio, and you will solve by setting up a ... We set up a proportion by finding something that we can set the ratio equal to:.

Step-by-step explanation:

y=1/4 x y=4x-5 parallel perpendicular neither

Answers

Answer:

Neither.

Step-by-step explanation:

The slope for the first one is 1/4 and the slope for the second one is 4. These are reciprocals, but not opposite reciprocals, meaning they are not perpendicular. An opposite reciprocal means the fraction is flipped (ex. 3/1 to 1/3) and the sign is changed. The line parallel to y=1/4x would be y= -4x.

Answer:

Neither

Step-by-step explanation:

Brennan studies the relationship shown in the table. Which expression describes a method Brennan could use to determine the y-value when x equals 7?

Answers

Answer:

What is the long Division rhyme to help you solve?

What is the long Division rhyme to help you solve?

Step-by-step explanation:

What is the length of segment TQ?

Answers

Answer:

14 units

Step-by-step explanation:

4x-1=15

x=4

3x+2=14

Describe a strategy for finding the difference of two temperatures/Answer in complete sentences.


Hello this is my question if you answer correctly you will receive 30 points plus branliest please be mindful and help me solve this question ASP

Answers

Answer:

Use google scooby it's easier than this way.

Step-by-step explanation:

is -|42| positive bc like all absolute value is positive or like negative bc like the negative sign is outside of the absolute value bars

Answers

Answer:

everything inside is potssiise but it doesn't affect the sorrouding ones

The following data values represent a population. What is the variance of the population? u = 8. Use the information in the table to help you. X 6 10 14 2 (x-2)2 4 4 36 36 O A. 20 o B. 10 O C. 16 O D. 8​

Answers

Answer: 20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

just took the quiz

A football team scored 3 touchdowns, 3 extra
points, and 4 field goals. Write an expression to
show us how many total points they scored.
(Remember, touchdowns are worth 6, extra points
are worth 1, and field goals are worth 3.)

Answers

Answer:

3x6+3x1+4x3

Step-by-step explanation:

Answer:

^-----

Step-by-step explanation:

solve for W
V = L + W

Answers

Answer:

W = -L + V

Step-by-step explanation:

V = L + W

~Subtract L to both sides

V - L = W

Best of Luck!

4. Ian and his friends are renting a cabin
charges an initial fee plus a rate per night. The
relationship between the cost and the number of
nights is shown in the graph.

Answers

I’m so sorry for this 4 night graph 1.89

WILL MARK BRAINLIEST PLEASE HELP

Answers

Slope is 6 you can fine this by using the slope formula of rise over run or you can just in this equation divide the y by the x coordinate to find the slope of 6

Bob baked 175 brownies to give seven of his friends if he splits the brownies evenly and keeps none for himself how many brownies will each friend get

Answers

Each friend will get 25 brownies each!!!!

Answer:

25

Step-by-step explanation:

175 ÷ 7 = 25

What is the sum of -1.4-(-0.5)=-1.4+0.5
Help me Please!!!!!!!!!!!!

Answers

Answer:

literally 0

Step-by-step explanation:

Which expression is equivalent to -3x + 9?
A. -3(x + 9)
B. -3(x-3)
C. -3(x + 12)
D. 3(-x-3)

Answers

Answer:

B

Step-by-step explanation:

You use the distributive Property

-3(x-3)

-3x+9

Answer:

B

Step-by-step explanation:

–3(x – 3)

-9x+2> 18 OR 13+15 |< -4​

Answers

Answer:

C. -16/9 < x < -19/13

Step-by-step explanation:

-9x + 2 > 18

~Subtract 2 to both sides

-9x > 16

~Divide -9 to both sides

x < 16/-9

13x + 15 ≤ -4

~Subtract 15 to both sides

13x ≤ -19

~Divide 13 to both sides

x ≤ -19/13

As we can see, there are two different solutions and the only option that shows this is C.

Best of Luck!

Find h(x) + h (x+2), giving-
your is single fraction
answer as fraction

Answers

Answer:

Step-by-step explanation:

hx(x+x+2)

h x (2x + 2)

H x 2 (x + 1)

2h x (x + 1) is the answer

9) Write an inequality to represent the statement:
The sum of a number and 65 is at least 108.
suri

Answers

Answer:

x + 65 < 108

Step-by-step explanation:

Answer this right and I will post 100 points to who ever get this right!!!!

WHO PLAYS SPNGEBOB IN THE TV SHOW SPNGEBOB SQUAREPANTS!!!!!

Answers

Answer:

TOM KENNYY

Step-by-step explanation:

Tom Kenny as Spongebob Squarepants

Is y=3x-8 proportional

Answers

Step-by-step explanation:

YES! HOP THIS HELPS

I think sooooooooooo

Which statement is true about the solution to this system of
equations?

3y = 3x +6
Y= x+2

Select one:

The two lines intersect at exactly two points.

The two lines coincide.

The two lines intersect at exactly one point

The two lines do not intersect.

Answers

The two lines coincide. The two equations have the same slope and intercept. If you multiply the second equation by 3, you’ll get the first equation.

Given f(c)=6(1-x)what is the value of f(-8)

Answers

Answer:

54

Step-by-step explanation:

Given f(c)=6(1-x)what is the value of f(-8)

You plug the value in. f(-8)=6(1--8)

f(-8)=6(9)

=54

Please mark Brainliest!

Will sells 35 L of milk in a day how many liters of milk will be sold if he has
to sell 125% more milk per day

Answers

Answer:

i think it is 43.75

Step-by-step explanation:

Either that or 39.375

(Sorry I couldn't answer in more detail. Please don't get mad at me)

Answer:78.75

1.25×35=43.75

43.75+35=78.75

I hope this is good enough:

Write a recursive sequence for the following:
27, 33.5, 40, 46.5

Answers

Your answer is It adds by 6.5
Other Questions
HISTORY QUESTION please help me answer ill mark u brainliest if u get them correct! What does the term "free market" mean? Do you think this is a good system? Can you think of areas of society where this system would be detrimental? Why? * Can someone help me with this problem7.984 1.99 4. One of the most common predation relationships that can be seen in the Florida Everglades is between the FloridaPanther and the White Tailed Deer. Since the Florida Panther is an endangered species, what would happen to thedeer population as the panther population decreases in size?A. The deer population would decrease.B. The deer population would not be affected.C. The deer population would increase indefinitely.D. The deer population would increase and then level off. Depression. How do you get out of it? is there any way to make the pain stop? Help me please if you know.. thanks. what are some tips to stay focused in school, and to complete work faster? Is bravery and example of a common topic WILL MARK BRAINLIEST IF CORRECT HURRY IM RUNNING OUT OF TIMEWhich information did the Glomar Challenger study in 1968?the rate of seafloor spreadingthe direction of seafloor spreadingthe age of rocks in various places in the oceanthe contents of rocks in various places in the ocean Calculate and write in simplest; 2 1/9+ 7 4/9= Find the equation of the line that contains the points (-5, 0) and (-3, 4) what is -xy x=6 y=3 Read this excerpt from Dean Kamen's "On Becoming an Inventor." I had just finished making a complicated piece of equipment that was to be used for a show opening in Philadelphia called "Fiorello." When the machine arrived they had trouble wiring it, so instead of going off to college that morning for an orientation, I spent several days at the theater fixing my light/sound equipment. The show received poor reviews, except for the mention by one reviewer of the "special effects," which, he wrote, were "outstanding." How does the writing shape readers' impressions? A- Kamen's opinion seems to be that machines are more important than anything else. He supports this with an example of his work on a machine for a show in Philadelphia. His tone is formal and directed at a scholarly audience. B- Kamens opinion seems to be that hard work can overcome any obstacles. He supports this with an example of hard work on a light machine. His tone is humorous and directed at young audience. C- Kamens opinion seems to be that his inventions are more important to him than other activities. He supports this by sharing an example of skipping college orientation to fix sound equipment. His tone is informal and directed at a general audience. D- Kamen's opinion seems to be that special effects can make a show outstanding. He supports this with an example of his own special effects machine. His tone is formal and directed at a scientific audience How did the economic law of supply and demand increase the wealth of business owners during the industrial revolution?? A competitive market is one in which:a. few large sellers compete for a majority of the market share.b. individual sellers and buyers have a lot of influence over market price.c. government oversees its operation.d. fully informed price-taking buyers and sellers easily trade a standardized good. how are food prices affected by a supply and demand Which of the following statements is false? a.Lamar forced the Comanche and Cherokee people out of Texas.b.During Lamars presidency, Mexico refused to recognize Texas independence and threatened to invade.c.Lamars efforts to expand Texas territory were disastrous.d.The Council House Fight was a dispute about financial spending under Lamars leadership.Please select the best answer from the choices providedABCD Can someone put this into vertex form? y=x2+24x-15 Read this excerpt from The Way to Rainy Mountain.Great green and yellow grasshoppers are everywhere in the tall grass, popping up like corn to sting the flesh, and tortoises crawlabout on the red earth, going nowhere in the plenty of time.Why does the author use the simile "popping up like corn to sting the flesh' in this excerpt?O to show the extent to which nature can harm peopleO to convey the role that animals played on the Kiowa journeyO to reveal in images what the passage of time meant to the KiowaO to depict the grasshoppers' vastness and activity How many chromosomes will be found ineach of the two new cells formed as a resultof mitotic cell division? what can you say about being physically fit?