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

how do you solve
x2 - 4xy + 4y​

Answers

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

Step-by-step explanation:

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:

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:

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

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:

2.6 X 16 fourth grade answers

Answers

Answer:

41.6 lol

Step-by-step explanation:

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.

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:

. 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!

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

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

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

Don’t understand algebra 1

Answers

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

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:

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

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

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

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

how many quarts are there in 20 quarts?​

Answers

20
It says 20 in frount of quart

Answer:

20 lol??

Step-by-step explanation:

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.

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:)

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

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

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

"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 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:

Choose all numbers that are divisible by 2

Answers

Answer:

91066

32626

Are the only answers there

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.

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

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