Solve the question on the interval [0, 2π)
sin^2 θ - cos^2 θ = -3 sin θ - 2

Answers

Answer 1

Answer:

[tex]\frac{7\pi }{6} ; \ \frac{3\pi }{2} ; \ \frac{11\pi }{6}.[/tex]

Step-by-step explanation:

if 1=sin²Q+cos²Q, then cos²Q=1-sin²Q, then

2sin²Q+3sinQ+1=0;

[tex]\left[\begin{array}{ccc}sinQ=-1\\sinQ=-0.5\end{array} \ => \ \left[\begin{array}{ccc}Q=3\pi/2+2\pi *n\\Q=(-1)^n*\frac{7\pi }{6}+\pi n \end{array}[/tex]

on the interval Q=3π/2 (from the 1st equation) and Q=7π/6; 11π/6 (from the 2d equation).


Related Questions

Leo has $28 to spend on pencils and paper for a school. Pencils cost $0.50 each and paper cost $1.50 each. Using x for pencils, and y for paper, write an inequality that represents what Leo can buy.​

Answers

Answer:

Please mark Brainliest if helpful...

0.5x+1.5y[tex]\leq[/tex]28

Step-by-step explanation:

X is the number of pencils, so multiply the price of one pencil by the number of them to get the total price of pencils-0.5xY is the number of paper, so multiply the price of one paper by the number of them to get the total price of paper-1.5yLeo has $28, so he can either spend $28 or less on pencil and paper, which means that his total cost should be less than or equal to 28

8sin(8x)+9=3
Need solutions

Answers

Answer:

Simplifying

8sin(8x) + 9 = 3

Remove parenthesis around (8x)

8ins * 8x + 9 = 3

Reorder the terms for easier multiplication:

8 * 8ins * x + 9 = 3

Multiply 8 * 8

64ins * x + 9 = 3

Multiply ins * x

64insx + 9 = 3

Reorder the terms:

9 + 64insx = 3

Solving

9 + 64insx = 3

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + -9 + 64insx = 3 + -9

Combine like terms: 9 + -9 = 0

0 + 64insx = 3 + -9

64insx = 3 + -9

Combine like terms: 3 + -9 = -6

64insx = -6

Divide each side by '64nsx'.

i = -0.09375n-1s-1x-1

Simplifying

i = -0.09375n-1s-1x-1

Step-by-step explanation:

If this helps please give brainliest:)

2.6 X 16 fourth grade answers

Answers

Answer:

41.6 lol

Step-by-step explanation:

Order these numbers from least to greatest.
8.506, 8.6, 8.5612, 8.56

Answers

Answer:

It goes 8.506, 8.56, 8.5612, 8.6

Happy to Help

The lengths of the sides of a quadrilateral are 4 consecutive even integers. The perimeter of the quadrilateral is 36 inches. What is the length of the longest side?

Answers

Answer:

Step-by-step explanation:

Help

During the summer, Abrielle is a cashier at a grocery store and Zane serves ice cream. To show their earnings, Abrielle makes a graph and Zane makes a table. Which statement is true?

Answers

Answer:

The slope of Zane is 18.50/2 = 9.25

Subtract both slopes to find the true statement.

10.5 - 9.25 = 1.25

The correct statement is:

Abrielle earns $1.25 more than Zane.

Answer:

what the person on the top said. Their right.

Please answerrrrrrr.

Answers

Answer: 1. True 2. False

Step-by-step explanation: In question 1 they both equal 0.25 (5/20 and 7/28) but in question 2 they equal different values. 11/22=0.5 and 13/25 = 0.52.

Don’t understand algebra 1

Answers

Answer: Try using Symbolab (i have no idea what the answer is sry)

Choose all numbers that are divisible by 2

Answers

Answer:

91066

32626

Are the only answers there

This is my my second to
last one, thanks for helping me

Answers

9514 1404 393

Answer:

$9Option 4

Step-by-step explanation:

The equations need to match the problem statements. If we let C and S represent the costs of Cherry and Sweet potato pies, respectively, then the revenue from each sale can be expressed as an equation.

  1 cherry and 7 sweet potato for $114   ⇒   C +7S = 114

  14 sweet potato and 11 cherry for $309   ⇒   11C +14S = 309

Note that we have used C and S in the second equation in the same order as they appeared in the first equation, even though the problem statement has that order reversed. This facilitates solving the equations using elimination or Cramer's rule.

These equations match Option 4.

__

The cost of a cherry pie can be found by eliminating S from the equations. We can do that by subtracting twice the first equation from the second:

  (11C +14S) -2(C +7S) = (309) -2(114)

  9C = 81 . . . . . simplify

  C = 9 . . . . . . . divide by 9

The cost of each cherry pie is $9.

If a mother is 20 years old when her baby is born how old will she be when she is twice as old as her child

Answers

Answer:

40.

Step-by-step explanation:

Order the steps to show how to solve the equation 2(4x−11)+9=19.

Answers

Answer:

x=4

Step-by-step explanation:

Distribute the 2 -> 2(4x−11)+9=19 -> 8x-22+9=22

Combine Like Terms -> 8x-13=19

Add 13 to Both Sides -> 8x=32

Divide Both Sides by 8 -> x=4

how many quarts are there in 20 quarts?​

Answers

20
It says 20 in frount of quart

Answer:

20 lol??

Step-by-step explanation:

. If you could put a sealed room on a very sensitive scale and open a thousand soft drink
cans inside it, would the mass reading on the scale go up, go down, or stay the same?
Explain your answer.

Answers

Answer:

I think it would go up on the scale.

Step-by-step explanation:

I believe it would go up, because think about air in your mouth. If you close your mouth and add more air, your mouth gets heavier to carry. Therefore, the air needs to go somewhere. Same with carbonated soft drinks, like soda.

Please mark me Brainliest! I only need 4 more! Thank you so so much!

Haley walked a total of 6 kilometers by making 2 trips to school. How many trips will Haley
have to make in all to walk a total of 18 kilometers? Solve using unit rates.

Answers

Answer: 6 trips

Step-by-step explanation:

Is this relation a function? Justify your answer.

Please help me!! 5:56pm as soon as you can! I could maybe help you with a problem!

Answers

Answer:

C. No because two points with the same x-value have different y-values

Step-by-step explanation:

The sum of three consecutive odd numbers is 39. What is the largest of
the three numbers?

Answers

Answer:

e three integers are 11 , 13 , and 15

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

An odd number is 2n+1 followed by 2n +3 and 2n+5

2n+1+2n+3+2n+5=39

6n+9=39

6n=30

n=5

5+5=10

how do you solve
x2 - 4xy + 4y​

Answers

Answer: x2-4xy+4y=2xy-5y+2y

Step-by-step explanation:

Find an equation of the vertical line through (-4,3)

Answers

Answer:

x=-4

Step-by-step explanation:

Vertical lines are of the form

x =

The x coordinate is -4

x=-4

What is the first step to solve 2 (x - 2)< (1 + 2) + 5

Answers

Answer:

The first step would be to distribute the 2 outside of the parenthesis

Then the left side of the equation would look like: 2x-4

Step-by-step explanation:

9514 1404 393

Answer:

  add 1+2

Step-by-step explanation:

According to the Order of Operations, the first step is to evaluate expressions in parentheses. Here, there are two expressions in parentheses: (x -2) and (1 +2). The first one cannot be evaluated. So, the first step is to evaluate ...

  (1 +2) = 3

Then the inequality becomes ...

  2(x -2) < 3 +5

"Six more than a number doubled is equal to twice a
number plus three"

Answers

Given parameters:

  This is a word problem. To solve problems, it is best to interpret sentence by sentence;

   Six more than a number doubled;

      let the number  = y ;

      so  we have 2(y + 6)

    equal    =

     twice a  number plus three;

      let the number be Z;

           2Z + 3

The complete expression is thus;       2(y + 6) = 2Z + 3

 

   

Which is the best estimate of 90/7 divided by 1 3/4?

Answers

Answer:

7 17/49

Step-by-step explanation:

Convert mixed numbers to fractions:

= 90/7 ÷ 7/4

Apply the fraction rule:

= 90/7 * 4/7

Multiply fractions:

90 * 4 / 7 * 7

Simplify:

360/49

Convert improper fractions to mixed numbers:

= 7 17/49

Ryan picked 7 apples.David picked 4 times as many apples.How manyapples did he picked

Answers

Answer:

28

Step-by-step explanation:

7*4

match the simplified expression to an equivalent expression 2t -9 2t-t

Answers

Answer: your trying to find an ecuagan to match the one it is saying so you can do 2t-8-3t which equals 13 just like the ecaution shown 2t-9-2t also equals 13

Step-by-step explanation: I hop this helps :D :) :)  have a good day you guys/peeps

Answer:

I am wondering if this is the same problem but here anyways.

Step-by-step explanation:

When given a system of equations in slope-intercept form, is graphing or substitution the most efficient method to solve?

Answers

i’m not sure but just gues

1. What is the width of a rectangle with a length of 14 cm and area 161 cm2? Formula: A=L*W


2. What is the radius of a circle with a circumference of 13 ft? Formula: C=2PI*R


3. A rectangle has a perimeter 182 in. and length 52 in. What is the width? Formula: P=2*L+2*W


4. A triangle has a base of 7 m and an area of 17.5 m2. What is the height? Formula: A=1/2*b*h
Pls Show Work

Answers

Answer:

one question at a time please

Which function has a constant additive rate of chan of -1/4

Answers

Answer:

y -12 21 -1.5 -11 11 -2 -10 14 -2.5 -9 17 ?

Step-by-step explanation:

A diagram of a swimming pool is shown.
3.5 m
What is the approximate circumference of the swimming pool? Use 3.14 as an estimate for t.
Ο Α. 7 m
Ο Β. 11 m
Ο Ο Ο Ο
Ο C. 22 η
O D. 28 m

Answers

B
Because 11 m it’s the answer to that give me the same thing

Answer:

B. 11

Step-by-step explanation:

Im good with a Scientific calculator.

Plzzzz I need help plz I will do Anything what is this problem please answer fast I am in a test thank you I need a,b,c answered

Answers

Answer:

a. 9.75

b.3/2

c.y=3/2x

Step-by-step explanation:

Arthur is building a rectangular sandbox for his son. The area of the sandbox is 17 23/32
sandbox is 3 3/8feet, what is the width of the sandbox?

Answers

Answer:

The answer is 5 1/4 feet

Other Questions
who is the author of "A love story and the three purple hearts?' Discuss how drinking patterns differ between groups of people depending upon their education, gender, ethnicity, etc. What factors (biological, cultural, etc.) do you think contribute to these differences Cul es el papel de los abuelos enla vida cotidiana de las familiascontemporneas y cmo hacambiado? The 24th Amendment, ratified in 1964, eliminated the use of poll taxes in federal elections. Poll taxes had been used to prevent which group of people from voting? three charges are located at 100m intervals along a horizontal line: a charge of -3.0C on the left, 2.0C in the middle, and 1.0C on the right. What is the resultant force on the 1.0C charge due to the other two True or FalseThe ecological niche of a species is the place where its members live. Why did the French explore the new world? And how did the find out about it? 5. Which one is NOT an indefinite article? *(0.5 Points)launosununa what is 5280 divided by 60 The affix ante- means "before." Based on this knowledge and the meaning of the root belli, when was the Antebellum period in American history?A. after the Great DepressionB. before the Liberty BellC. before the Civil WarD. after World War II'll give brainly to whoever answers, just please help me! how many quarts are there in 20 pints What is the probability of spinning a C? The definition of a circle uses the undefined term _______.arclineplaneray C12H7Cl3FNaO2 what are them elements in that chemical formula All of the following were effects of the Civil War except __________.A.intratribal conflicts occurring between full-blooded and half-blooded membersB.a mass amount of people immigrating out of the Indian TerritoryC.the economy being devastated by looting and the destruction of propertyD.the Union honoring tribal treaties signed with the ConfederacyAnswer is D, my fellow classmates Read the following sentences. Jamal is a dedicated fan of the Pugs. Kevin is a dedicated fan, too. Almost like twins, Kevin and Jamal both wear Pugs jackets. Kevin and Jamal plaster their notebooks with Pugs decals.Which revision of these sentences best uses compound subjects and predicates to eliminate wordiness? A. Jamal and Kevin are both dedicated fans of the Pugs. Almost like twins, they both wear Pugs jackets and plaster their notebooks with Pug decals. B. Jamal is a dedicated fan of the Pugs, and Kevin is a dedicated fan, too. Almost like twins, Kevin and Jamal both wear Pugs jackets. They plaster their notebooks with Pugs decals. C. Jamal is a dedicated fan of the Pugs, and Kevin is a dedicated fan, too. Almost like twins, they both wear Pugs jackets and plaster their notebooks with Pugs decals. D. Jamal and Kevin are both dedicated fans of the Pugs who are almost like twins who both wear Pugs jackets. Jamal and Kevin plaster their notebooks with Pugs decals. 5x-3y+3x+2ywhat is the answer FAST PLEASE!!!!!!!! IM BEING TIMED HELP!!!!!! BRAINLYESTCaused by differences in the density of ocean water; flows slowly.Gulf Streamdeep currentsurface current Which belief did the Sumerians hold?A. The gods were always kind.B. Powerful gods controlled everything.C. There were no gods/goddessesD. The gods did not require prayer or offerings 4 movie tickets cost $48. At this rate, what is the cost of:5 movie tickets?