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

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:

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

What is the length of segment TQ?

Answers

Answer:

14 units

Step-by-step explanation:

4x-1=15

x=4

3x+2=14

-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!

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! :)

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

Answers

Answer:

literally 0

Step-by-step explanation:

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:

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

i need help please
its pretty urgent

Answers

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

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

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

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:

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

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:

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!

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

Answers

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

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:

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.

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.

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:

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)

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

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

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

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!

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 :)

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
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