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

Which is the value of this expression when j = 2 and k = 1?

Answers

Answer:5

Step-by-step explanation:

Just cuz

Answer: -64 or A

Step--by-step explanation:

match the following trig ratios with the correct equation for the triangle shown below (picture attached)

Answers

Answer:

a

Step-by-step explanation:

Does someone understand this

Answers

Answer: 61

Step-by-step explanation:

You should break the figure into separate shapes, find the area, and add them together.

Help pls thank you!!!!!!!!!!!!!!

Answers

Answer:

that would be b

Step-by-step explanation:

i am not positive but i am pretty sure it is b

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t^2+90t gives the height h of the ball after t seconds.

a. Find the maximum height of the ball.

b. How many seconds will it take for the ball to reach the ground?

Answers

The ball reaches a height of 126.58 ft after 2.8125 seconds

Step-by-step explanation:

The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.

-b/2a

-(90)/2(-16)

-90/-32

2.8125 seconds

Now to find the height, we input that value in for t

h = -16t^2 + 90t

h = -16(2.8125)^2 + 90(2.8125)

126.58 feet

choose the correct vertical asymptote(s).
Glven the function, f(x) =
x+1
X-4
O x= -4, x= 4
O x= 4
O x= -2, x = 2
O x= 2

Answers

I think x = 4, but im not 100% sure so im sorry if it is wrong

A function of x containing three ordered pairs of the form (x, y) is shown below. {(1, 3), (2, 7), (3, -9)}
What is the range of the function?​

Answers

Answer:

-9,3

Step-by-step explanation:

The range of the function is {3, 7, -9}.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

A function of x containing three ordered pairs of the form (x, y) is shown below. {(1, 3), (2, 7), (3, -9)}.

The range of the function is,

= the number of value in the y-coordinate.

= {3, 7, -9}

Therefore, {3, 7, -9} is the range.

To learn more about the function;

brainly.com/question/28303908

#SPJ2

Factoring Best answer gets a brainliest
(5a²+5a)=
Explain how to solve this and other questions like it.
2 answers please

Answers

Answer: (5a+1) (a+1)

Simplify the expression

(-3v)^5

Answers

Answer:

=-243v^5

Step-by-step explanation:

=-(3v)^5

=-3^5v^5

=3^5=243

=-243v^5

Helped by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!!

Answer:

=-243v^5

Step-by-step explanation:

[tex](-3v)^5 = -3 x-3 x-3 x-3 x-3 = -243 ..than..add..the..v..which..equals..--243^5\\[/tex]

I SAY CAN YOU, YOU SAY GIVE ME THANKS, CAN YOU_GIVE ME THANKS!!!

What is 10z when z = 0.8

Plssss help mee

Answers

Answer:

Value of 10z = 8

Step-by-step explanation:

Given:

Equation of variable;

10z

and value of z = 0.8

Find:

Value of 10z

Computation:

We know that in given equation 10z

10 is constant(fixed value) and z is variable(changeable value)

where value of variable z is given 0.8

So,

By putting value of variable z in given equation

⇒ 10z

⇒ 10(0.8)

by multiplying variable and constant

Value of 10z = 8

First correct answer gets brainliest! All guesses will be reported. Tysm!!

Answers

Answer:

90 in

Step-by-step explanation:

360/60 = 6

15*6 = 90

Which equation does not represent a linear function

Answers

Answer:

D should be the one that DOES NOT represent a linear function

Please correct me!
( click for full image)

Answers

Answer:

thy would not translate they would rotate

Describe how ∠PTQ and ∠QTS in the figure are related.

Answers

Answer:

their unrelated

Step-by-step explanation:

might look similar but very different from each other

A 20 foot ladder is leaning up against the side of a house the distance between the house and the base of the ladder is 4 feet find the angle that the ladder makes with the ground

Answers

Answer:

78.5°

Step-by-step explanation:

We solve for the above question, using the formula for the Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

Adjacent = The distance between the house and the base of the ladder = 4 feet

Hypotenuse = Length of the Ladder = 20 feet

Hence,

cos θ = 4/20

θ = arc cos(4/20)

θ = 78.463040967°

Approximately = 78.5°

Therefore, the angle that the ladder makes with the ground is 78.5°

Divide 1 km in the ratio of 3:2. What is the
smaller distance?
Explain how to do this please

Answers

Answer:

3/1 km:2/1km

=3:2

=1,5km

I hope this helps you

Help fast please!!! ♥

The graphs of f(x) and g(x) are shown below:


Graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 7, negative 2.

If f(x) = (x + 7)2, which of the following is g(x), based on the translation?

g(x) = (x + 9)^2

g(x) = (x + 5)^2

g(x) = (x + 7)^2 + 2

g(x) = (x + 7)^2 − 2

Answers

Answer : x=2






Explanation: take the 1 and the other 1 and add them together to get 2

Can someone help me

Answers

Answer:

1/5 x (6 x 4) goes to less than 24 (ps I’m not sure sorry)

2 x 6 x 4 goes to great than 24

(4 x 6) x (3 - 2) goes to equal to 24

(6 x 4) divide 2 goes to less than 24

(6 x 8) - (6 x 4) goes to equal to 24

6 x (5 - 4) goes to less than 24

9 x 6 / 5 - 3 goes to greater than 24

5 x 1/5 x (6 x 4) goes to equal to 24

Answer:

the answers are in the picture because I wrote them on paper. Hope it helps!

I used a calculator on every problem so they should be correct

Which equation has the solution of X equals negative 11?

Answers

Answer:

D: x+31=20

Step-by-step explanation:

x+31=20

  Subtract 31 from each side

x= -11

PLZ HELP an apple juice container has a tiny hole in it so it is slowly leaking is the container leaks three ounces every 19 minutes how long will it take for 16 ounces of juice in the container to leak out?

Answers

Answer:

the answer is on line and it have the correct work

Triangle a need to be rotated in a 90 degrees counterclockwise

Pick the correct triangle for 90 degree counterclockwise

1.B
2. C
3. D

Answers

Answer:The answer is D

Step-by-step explanation:

please help algebra test tomorrow

Answers

Dont open the links

Help me is right now its very urgent

Answers

what is the value of s?
you have to multiply the two answers with the letter s then whatever the answer is that is the value of s

200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students, 80 plan to major in mathematics, 100 plan to major in computer science, and 30 plan to pursue a double major in mathematics and computer science. Using this information, answer each of the following questions.

Let MMM be the event that a randomly selected student plans to major in mathematics and CCC be the event that a randomly selected student plans to major in computer science.


Khan academy adding probabilities

Answers

Answer:

Why is the number so big

Step-by-step explanation:

Answer:

2/5

1/2

3/20

3/4

Step-by-step explanation:

got it from Khan academy :)

What is 17 percent as a number

Answers

Answer:

0.17

Step-by-step explanation:

17 percent can be turned into a decimal by moving the invinsible dot 2 times to the left. therefore 17% becomes 0.17

Answer:

Well 17 percent of 100 is 17. It really depends on the number that you are finding the percentage of.

steve is rolling a six-sided number cube. what is the probability of the cube landing on a six?​

Answers

Answer:

1/6

Step-by-step explanation:

Space = {1,2,3,4,5,6}

n(S) = 6

A = Event of getting 6 = {6}

n(A) = 1

P(getting six) = n(a)/n(S) = 1/6

Sophia earns $156 each month babysitting. The circle graph shows how Sophia budgeted her babysitting money during the month of May. How much more money did Sophia budget for art supplies and music than food?

Answers

Answer:

$11.70

Step-by-step explanation:

117 - 45% ( Art & Music ) = 64.35

117-64.35 = 52.65

64.35-52.65 = 11.70

Help I NEED ANSWER IN 5 MINS PLSSSS

Answers

Answer:

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

=

9

7

= 1.2857142857143

θ =

arctan( ΔY )

ΔX

= 52.125016348902°

ΔX = 49 – 21 = 28

ΔY = 63 – 27 = 36

Distance (d) = √ΔX2 + ΔY2 = √2080 = 45.607017003966

Equation of the line:

y = 1.2857142857143x – 3.5527136788005E-15

When x=0, y = -3.5527136788005E-15

When y=0, x = 2.7632217501782E-15

If 1 Point and the Slope are Known:0.75

CAN SOMEONE HELP ME WITH THIS QUESTION PLEASE?!!!

Answers

Answer:

Cone or Cylinder, Sphere

Step-by-step explanation:

Answer: The surface area of a cone can be found by drawing a net and adding the area of all their respective two - diamasional surface. Use the formula 4πr2 to find the surface area of a Sphere where r is the radius of the figure.  

Step-by-step explanation:

Write the equation for a line that passes through (4,-1) and has a slope of 5

Answers

Answer:

y = 5x - 21

Step-by-step explanation:

Since we already know the slope, all we need to do is plug the values of x and y into the equation.

y = 5x + b

-1 = 5(4) + b

-1 = 20 + b

-21 = b

The equation is y = 5x - 21.

Other Questions
A scientist has collected the following data on the population of a bacteria colony over a thirty-minute period:5 minutes: 78,00010 minutes: 234,00015 minutes: 657,00020 minutes: 1,784,00025 minutes: 5,040,00030 minutes: 14,980,000Which type of graph would be best to use to display the growth of the colony?A.) a bar graphB.) a circle graphC.) a histogramD.) a line graph Please help I am kinda confused Joshua lives 8 miles directly south of the school. Mark lives 6 miles directly west of the school. What is the shortest distance between Mark's house and Joshua's house? Based on the results shown in the table, how many white marbles would one expect to draw in a total of 50 draws? (hint:set up a proportion) 9.6 Code practice Edhesive what does hi mean it is a gesture in greeting someone why did i do this who knows hi zoo.m wit me im board geuss what you are too just saying also this is partly to make you laugh so laugh you bumb Given Angle 1 =x and angle 2 = (x +50).Find the value of x. Then find angle 1 and 2 Need help with Spanish pleaseee Hellllllllllllllllllllppppppppppppppppppppppppp Indica las formas tnicas (stressed) de estos adjetivos posesivos y los pronombres posesivos correspondientes.------------nuestros radiosadjetivo:pronombre:------------su ratnadjetivo:pronombre:------------tu perfiladjetivo:pronombre: 2 C.H. (g) + 190, (g) 1200, (g) + 147,0 (8) Pls help asap thx14.15.16. Four friends share 3 sheets of construction paper equally. What fractionof a sheet of paper does each friend get? pls help me i need help ASAP pls help. i really need help right now What caused tensions between the US and the Soviet Union fallowing WW2 please help for brainliest:)) Can someone help with question B please it's urgent Which statement best explains whether y = 2x 3 is a linear function or a nonlinear function? It is a linear function because the graph contains the points (0, 3), (1, 1), (2, 1), which are on a straight line. It is a nonlinear function because the graph contains the points (0, 3), (1, 1), (2, 1), which are not on a straight line. It is a linear function because the graph contains the points (3, 0), (1, 1), (1, 2), which are on a straight line. It is a nonlinear function because the graph contains the points (3, 0), (1, 1), (1, 2), which are not on a straight line. what is nine of the sum of three succesive odd