Mathematics High School

)Suppose is a real number with 0 < < 4 . Set = sin( − ), = cos( + ), = sin( − ), and = cos(2 − ). Arrange the values , , , and in increasing order, and explain how you determined their order.

Answers

Answer 1

Answer:

b < c < a < d

Step-by-step explanation:

P.S - The exact question is -

Given - Suppose x is a real number with 0 < x < [tex]\frac{\pi }{4}[/tex] . Set a = sin([tex]\pi[/tex] - x) ,

b = cos([tex]\pi[/tex] + x) , c = sin( x - [tex]\pi[/tex]) , d = cos(2[tex]\pi[/tex] - x)

To find - Arrange the values of a, b, c, d in increasing order , and explain

how you determined their order.

Proof -

Firstly draw a unit circle where you indicate the following

A = ( cos(x), sin(x) )

B = ( cos( [tex]\pi[/tex] - x) , sin ([tex]\pi[/tex] - x) )

C = ( cos([tex]\pi[/tex] + x), sin ([tex]\pi[/tex] + x) )

D = ( cos (2[tex]\pi[/tex] - x) , sin (2[tex]\pi[/tex] - x) )

As we have given that 0 < x < [tex]\frac{\pi }{4}[/tex]

⇒sin (x) and cos(x) are positive and sin(x) < cos(x)

The figure is as follows :

Now

By seeing point B , we can say that

sin ([tex]\pi[/tex] - x) = sin (x) = a

By seeing point C , we can say that

cos([tex]\pi[/tex] + x) = -cos (x) = b

By seeing point C , we can say that

sin( x - [tex]\pi[/tex]) = -sin(x) = c

By seeing point D , we can say that

cos(2[tex]\pi[/tex] - x) = cos(x) = d

As sin(x) < cos(x) ⇒ a < d

-sin(x) > -cos(x) ⇒ c > b ⇒ b< c

and as we know that -sin(x) < sin(x) ⇒ c < a

∴ we get

b < c < a < d

)Suppose Is A Real Number With 0 < < 4 . Set = Sin( ), = Cos( + ), = Sin( ), And = Cos(2 ). Arrange

Related Questions

Using the function s = 13.50 which statement is true

A. The dependent variable is s
B. The dependent variable is h
C. the independent variable is s
D. the independent variable is 13.50

Answers

C. The independent variable is s

Answer:

A the dependent variable is s

Step-by-step explanation:

This is the correct answer from the review page.

Select all possible solutions
help!

Answers

Please just tell us the questions so we don’t have to look at bad quality

Can someone please help me. I’ll mark you brainiest.

Answers

Answer:

$47,682.78

Step-by-step explanation:

future value: F = $64,700

present value: P = x

annual interest rate: r = 2.18%

compounding periods per year: n = 365

[tex] F = P(1 + \dfrac{r}{n})^{nt} [/tex]

[tex] 64,700 = P(1 + \dfrac{0.0218}{365})^{365 \times 14} [/tex]

[tex] 64,700 = P(1 + 0.0000597260274)^{5110} [/tex]

[tex] 64,700 = P(1.0000597260274)^{5110} [/tex]

[tex] 64,700 = P(1.356883989) [/tex]

[tex] P = 47,682.78 [/tex]

Answer: $47,682.78

х
-2
0
N
4
6
g(x)
4
1
-2
-5
-8

Answers

I am sorry Someone answer your question

5 more than the product of 12 and 8

Answers

101 because of the way it is

Find the amount Enca owes at the end of 3 years if $6500 is loaned to her at a rate of 4% compounded monthly

Answers

Answer:

7311.616

Step-by-step explanation:

6500 x 1.04^3

What is 11.69517 rounded to the nearest thousandth?

Answers

The given number 11.69517 rounded to the nearest thousandth is 11.695.

What is the rounding off the number?

Rounding off a number means approximating it to a certain degree of accuracy by replacing it with another number that is nearly equal to it but has a shorter, simpler, or more explicit representation.

To round 11.69517 to the nearest thousandth, we look at the digit in the fourth decimal place, which is 5. Since 5 is greater than or equal to 5, we round up the digit in the third decimal place (9) by adding 1 to it. Therefore, 11.69517 rounded to the nearest thousandth is 11.695.

Hence, the given number 11.69517 rounded to the nearest thousandth is 11.695.

To learn more about rounding off the number, visit:

https://brainly.com/question/28128444

#SPJ1

Answer:

11.695

Step-by-step explanation:

Find the area of parallelogram ABCD given me A = 300 and the following measures.
AB = 10 in., AD= 6 in
A-
30 in
3013 in 60 in

Answers

60 inches is the area of the parallelogram

Answer:

30 in²

60 inches

Hope this helps ^-^

An angle measures 2° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

182

Step-by-step explanation:

is what that is plus 2

Pleasee helpp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 132º

Step-by-step explanation:

the sum of two angles on the same side is 180º so...

x + 48º = 180º subtract 48º from both sides

x = 132º

The sum of two number is 65 and their difference is 5.Set up and solve a system of equations to find the two number.Show work

Answers

Answer:

it 60

Step-by-step explanation:

PLEASE PLEASE HELP ME IM BEGGING

Answers

Step-by-step explanation:

D=M/V

M=D*V

V= M/D

M is mass

D is Density

V is Volume

Substitute and solve

3
4 -
8
5
1 -
8 797968686

Answers

whats the question so that we can help????

What is the value of c in the equation x^15/x^c =x^6

Answers

Step-by-step explanation:

[tex] \frac{ {x}^{15} }{ {x}^{c} } = { x}^{6} \\ {x}^{15 - c} = {x}^{6} [/tex]

15 - c = 6

15 - 6 = c

9 = c

c = 9

Write the equation of the line in fully simplified slope-intercept form.

Answers

Y=3/1x+-1 hope this is correct

Evaluate: 8×6+(12-4)÷2

Answers

Answer:

Step-by-step explanation:

I want to explain why so, first subtract 4 from 12 then youll get 8 the divide it by 2 and get 4 so then evaluate 8 x 6 which is 48 then add it to 4 to get the answer of 52

Answer:

The correct answer is 52

Step-by-step explanation:

HAVE A GOOD DAY!

What is 9 to the power of 9?

Answers

Answer: the answer is 387,420,489

Step-by-step explanation:

You can type 40 words per minute. How many words can you type in 10 minutes?

Answers

400, cus 40*10=400. Brainiest if possible, and tysm!

Answer:

40 * 10 = 400

Step-by-step explanation:

You have to multiply to get the answer :)

Hope yall have a awesome and wonderful day

Solve for t. If the answer is a decimal, round to the nearest tenth.

Asking again please no answered it :(
More points this time tho

Answers

Step-by-step explanation:

By Pythagoras' Theorem,

t² = 13² - 12²

=> t² = 169 - 144 = 25

=> t = 5 (as t is non-negative).

what is 4x+3x-12+1x

Answers

Answer:

8x-12

Hope it helped plz mark me brainliest PlzPlz

Answer:

8x-12

Step-by-step explanation:

You need to find a number/numbers that have the same variable if the variable is the same then you can add or subtract them

You can add 4x, 3x and 1x

4x plus 3x plus 1x is 8x

Since -12 is alone you can leave it as it is

8x-12

which equation represents the line that has a slope of 4 and passes through the point (2, 7)?
(A) y = 4x - 1
(B) y = 4x + 15
y=x+4
D y =
= 2x-4

Answers

Answer:

A) y = 4x - 1

Step-by-step explanation:

y = mx + b

y = 4x + b

7 = 4(2) + b

7 = 8 + b

-1 = b

y = 4x - 1

is this right re answer what's wrong please !?

Answers

Answer:

explination...

Step-by-step explanation:

so from how i’m understanding it, it would be 12(90) + 20(121).

so 12 x 90 is 1080. so that’s already a good amt, but then 20 x 121 is 2420. now if we add those together,

2420

+1080

-————

3500

so instead of there being more money than she spent, she actually gets the same amount back. so just rearange what’s you out to make sense in a way that matches the problem and you should be good (that was saying it nicely sorry if that seemed rude haha)

What is the degree of the polynomial below?
4x2+3x2 +6x+5
A. 3
B. 0
C. 1
O D. 2

Answers

The degree is 2 because the highest exponent in the polynomial is 2

Write an expression equivalent to 12+5t−4+15t+1

Answers

Answer:

20t + 9

Step-by-step explanation:

12+5t−4+15t+1

20t + 9

(Simplified version)

Answer:

The answer is 20t+9

Step-by-step explanation:

Someone help with this please

Answers

Answer:

The answer is the last one!

Step-by-step explanation:

x is the domain and y is the relation

-Sumin <3

Can someone explain why 12/9 is correct. Will mark brainliest.

Answers

Tangent is opposite over adjacent, so going from angle X, 12 would be the opposite leg, and 9 would be the adjacent leg

Answer:

Cause u got confused with the numbers you had to switch them up, i dont know what you did wrong but it was the other way around.

Step-by-step explanation:

11g − 5g + –17g − –7g = –12

Answers

Answer:

g=3

Step-by-step explanation:

11g-5g+-17g-(-7g)=-12

Add the like terms (nice that in this case they are all on the same side)

6g+-17g-(-7g)=-12

-11g-(-7g)=-12

-4g=-12 Now we divide (phew that was a lot of negatives XD)

g=3

What is the x value in the follow system?
3x - y = 7
2x + y = 3

Answers

Answer:

x=2

Step-by-step explanation:

find x=, if x-12=24 now!?

Answers

Answer:

Answer is 36

Step-by-step explanation:

Trust me

Answer:

36 because 24 + 12 = 36

At a car dealership, 72 trucks were sold in one month. If 60% of
the total vehicles sold were trucks, how many total vehicles were
sold that month?
A 12
B 132
C 120
D 160

Answers

Answer:

The total number of vehicles is: x = 120

Hence, option C is correct.

Step-by-step explanation:

Total trucks that were sold in one month = 72 trucks

Let 'x' be the total number of vehicles.

Given that 60% of the total vehicles sold were trucks.

Thus,

60% of x = 72

60/100 × x = 72

x = [72 × 100] / [60]

x = 120

Therefore, the total number of vehicles is: x = 120

Hence, option C is correct.

Answer:

C 120

Step-by-step explanation:

Have a great day

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