Mathematics High School

Solve the equation on the interval [0,2pi)

Solve The Equation On The Interval [0,2pi)

Answers

Answer 1

The value of θ within the interval is 210 and 330 degrees

Given the equation;

[tex]2sin^2 \theta = 5sin \theta - 3[/tex]

Let P = sinθ

The equation will become;

2P² = 5P - 3

2P² - 5P - 3 = 0

Factorize;

2P² - 6P + P- 3 = 0

2P(P-3) + 1(P -3) =0

2P + 1 = 0 and P - 3  = 0

p = -1/2 and  3

Since P = sinθ

sinθ = -1/2

θ = -30 degres

Since sine is negative in the second 3rd and 4th quadrant

θ = 180 + 30 = 210 degrees

θ2 = 360  - 30 = 330 degrees

Hence the value of θ within the interval is 210 and 330 degrees

Learn more on trigonometry here: https://brainly.com/question/24349828

Related Questions

At Cassville Middle School, students can choose to study either French or Spanish. The
principal tracked the number of students learning each language for the past several years.
These box plots show the results.

Which languag had a higher median number of learners?
French
Spanish

Answers

Answer:

is french which is higher median number of learners

Answer:  French

Explanation:

The vertical bar on the inside of the box visually represents the median. For the French learners, the median is at 200. For the Spanish learners, the median is at 190.

Which set of sides would make a right angle?

8,10,12

4,5,6

5,12,13

5,10,12

Answers

The answer is 5,12,13 as when you plug these into the Pythagorean theorem :
5^2 + 12^2 = 13^2
25 + 144 = 169
13^2 = 169
Hope this helps :)

Answer:

c

Step-by-step explanation:

The data points are:6,3,7,4,10,3,5.what is the median

Answers

Answer: The median is 5

Step-by-step explanation:

3,3,4,5,6,7,10 the middle number is 10

Answer:

5

Step-by-step explanation:

Put the numbers in order

3, 3, 4, 5, 6, 7, 10

we have an odd amount of numbers in this data set SO we have one number in the middle which is 5.

If you hold up 7 fingers, the finger to make 3 on both sides would be the 4th.

Can someone help me with this problem?

Answers

Answer:

a) 2

b) 3

c) 1

hope this helps :)

What is the area of a rectangle that is 5 meters long and 8 meters wide? A. 13 m2 B. 26 m2 C.35 m2 D. 40 m2​

Answers

Answer:

D. 40 m2

Step-by-step explanation:

The area of a rectangle is its length multiplied by its width.

length  * width  = Area

5 * 8 = 40

Answer:

[tex]\Huge\boxed{D.40m^2}[/tex]

Step-by-step explanation:

area of a rectangle = width times length

given width = 8 meters

given length = 5 meters

area = 5 * 8

8 * 5 = 40

hence, the area of the rectangle is 40m²

The Buffalo football team Lost 12 yards then gained 27 yard during the next play what was the change in position

Answers

Lbnnbbbbbbbbbbbbbbbvvvvggvggg

11) Given: the function f defined by f(x) = 3x2 . Which statement is true?
1) f(0) = 0
2) f(-2) = f(2)
3) f(5) + f(2)= f(7)
4) f(5) - f(2)= f(10)

Answers

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

What is the chemical equation for NaCl?

Answers

2Na(s)+Cl2(g) → 2NaCl(s)

help me please!!! no links 10 points

Answers

in persectev i think the answer in bound to be 17/10

Answer:

x=3 y=13

Step-by-step explanation:

now you got x... substitute x value with one of the questions then you get y

-3×3+2y=17

-9+2y=17

2y=17+9

y=26/2

y=13

i hope it's clear this is how elimination method works... this is how i learned.... t☺️❤️

What is the equation for the line that passes through the points (-5.5, 2.5) and (-2.5, -3.5)

Please help me with this

Answers

Answer:

y=-2x-8.5

Step-by-step explanation:

In ΔNOP, o = 3.5 inches, n = 3.3 inches and ∠N=37°. Find all possible values of ∠O, to the nearest 10th of a degree.

Answers

Answer:

Answer: 39.7  

∘

 and 140.3  

∘

Step-by-step explanation:

All possible values of ∠O, to the nearest 10th of a 39.7degrees and 140.3 degrees.

We have given that,

In ΔNOP, o = 3.5 inches, n = 3.3 inches and ∠N=37°.

What is the triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

We have to determine all possible values of ∠O, to the nearest 10th of a degree.

All possible values of ∠O, to the nearest 10th of a 39.7degrees and 140.3 degrees.

To learn more about the angle visit:

https://brainly.com/question/25770607

#SPJ2

Please help I will mark Brainly if u give me answer quickly

Answers

Answer:

x=29

Step-by-step explanation:

2x+1+33=90

56=2x

x=29

find the area of the shaded region. round your answer to the nearest hundredth

Answers

Answer:

16 meters

Step-by-step explanation:

sana makatulong

A bag holds 6 green, 3 red, and 4 blue marbles. A marble is selected at random, what is the probability of not selecting a blue marble?

Answers

Answer: 9/13

Step-by-step explanation:

6+3+4=13

13-4=9

it says the probability of NOT selecting a blue marble so it wouldnt be 4/13

Jada sells ground paprika.
Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is graphed.

Answers

Answer:

The answer is 35 kilograms of paprika to cover her costs exactly.

Step-by-step explanation:

e) Let f(x) = -2x + 5. Find and simplify the expression for the difference quotient,
F(x+h-f(x)/h

Answers

It’s messed up we need a pic

Gabe mails two packages. One package weighs as much as the other
package. The total weight of the packages is 7 lb. Write and solve an equation
to find the weights of the two packages. Show your work.


I have to write an equation and then solve it. Help.

Answers

Answer:

Both packages are 3.5 lb.

The equation is 7 / 2

Step-by-step explanation:

All you have to do is divide 7 by 2.

7 / 2 = 3.5

3.5 * 2 = 7

So, the answer is 3.5

Hope this helps! :)


Given that AD=9 and BD=6, find the measure of BC.

Answers

Answer:

i think someone can figure this out, but if they cant just say somthing like a or f

Step-by-step explanation:

Kim has $260 in her checking account. She deposits $39. Then she writes a check for $58. How much is left in Kim's account?

Answers

Answer:

241

Step-by-step explanation:

260+39-58=241

Kendra is planning to ride her bicycle on a popular biking path that is 54 miles long. She plans to average 9 miles per hour. To find about how long the trip will take, solve the distance formula d = it for t. Then substitute to find the time it will take her for the trip.

Answers

Answer:

It will take 6 hours to complete the biking path.

what polynomial is −6+x^4−x^2??? is it cubic, linear, quartic, quadratic, or quintic??

Answers

Answer:

To put the expression in the standard form for a polynomial we need to multiply the two terms. To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

Step-by-step explanation:

can someone please help me​

Answers

Answer: -8

Step-by-step explanation:

Put -8 in place of all of the x variables when I solved the top was equal to 40 and the denominator was equal to -5 and 40/-5 is equal to -8

Answer:

-8

Step-by-step explanation:

(-8) ^2+3(-8)

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

4(-8)+27

64-24

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

-32+27

40

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

-5

= -8

Need Help!!!! I will give Brainliest

Answers

Answer:

Line C

Step-by-step explanation:

Hope you pass

i need a bit of help with this bc i’m literally not smart. no work needed, just an answer. i’ll give brainliest.

Answers

Answer:

1. y= -2

Step-by-step explanation:

i hope this helps :)

Answer:

option (3)

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 2, - 5 ) and (- 2, - 4) with x- coordinates - 2 , then

x = - 2 ← equation of line

Barney ate 21 M&M's. If he ate 15% of the bag of M&M's, how many were in the bag to start?

Answers

Answer:

140

Step-by-step explanation:

15/100 = 21

21*100= 21000

21000/15= 140

For the data set 1,7,7,7,8, the mean is 6. what is the mean absolute deviation?

Answers

Answer:

The answer is 2

Step-by-step explanation:

First you need to calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. All of the points add up to 10. Then you divide that number by how many points there are which is 5 and you get 2.

Hope that helps. =)

Answer:

the answer is 2

Step-by-step explanation:

hoped I helped


LAST QUESTION!!!!!!!!!!!

segment AB had a mid point at (-1,-1). point A coordinates (3,2). what are the coordinates of B?​

Answers

Answer:

Just put the opposite coordinates on the other side of the segment and thats your answer!

Step-by-step explanation:


(a) Calculate 8% of £3.25.

Answers

Answer:

8÷100×3.25

=£0.26

hope it is helpful to you

Step-by-step explanation:

8÷100×3.25

=0.26

espero ter te ajudado

Which unit of measurements best estimate the of a juice box ( millimeters or centimeters or liters or meters) ? 

Answers

Answer : Centimeters
Liters
This is the answer

Find the volume of the rectangular prism.
Write your answer in simplest form.
3/5m
4/9m
2/5 m

Answers

Answer:

8/75

Step-by-step explanation:

To find the volume of a rectangular prism you multiply the length, width, and height.

So you do (3/5)*(4/9)*(2/5), and to multiply fractions you multiply the tops by eachother, and then the bottoms by eachother.

So its (3*4*2) over (5*9*5)

which gives you 24/225 which simplifies to 8/75

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