Mathematics High School

Complete the steps to derive the cofunction identity.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

In order to derivate the cofunction identity, we will use the difference identity for sine.

[tex]\boxed{\sin(\alpha-\beta ) =\sin(\alpha )\cos(\beta ) - \cos(\alpha )\sin(\beta ) }[/tex]

[tex]\sin \left(\dfrac{\pi}{2} - x\right) =\sin \left(\dfrac{\pi}{2}\right)\cos(x) -\cos\left(\dfrac{\pi}{2}\right) \sin(x)[/tex]

Once

[tex]\sin \left(\dfrac{\pi}{2}\right) = 1[/tex]

[tex]\cos\left(\dfrac{\pi}{2}\right) = 0[/tex]

[tex]\sin \left(\dfrac{\pi}{2} - x\right) =1 \cdot \cos(x) -0\cdot \sin(x)[/tex]

[tex]\sin \left(\dfrac{\pi}{2} - x\right) = \cos(x)[/tex]

Answer 2

Answer:

sin, cos, 1, 0, cos

Step-by-step explanation:

answer on edge

Related Questions

find the first four terms of the sequence:

an= 54+ 3(n-1) n= 1, 2, 3...

Answers

[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

[tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~54+3(1-1):[/tex]

[tex]\bold{Subtract~1~from~1~to~get~0.}[/tex][tex]\bold{Multiply~3~and~0~to~get~0.}[/tex][tex]\bold{Add~54~and~0~to~get~54.}[/tex]

[tex]2.)~54+3(2-1):[/tex]

[tex]\bold{Subtract~1~from~2~to~get~1.}[/tex][tex]\bold{Multiply~3~and~1~to~get~3.}[/tex][tex]\bold{Add~54~and~3~to~get~57.}[/tex]

[tex]3.)~54+3(3-1):[/tex]

[tex]\bold{Subtract~1~from~3~to~get~2.}[/tex][tex]\bold{Multiply~3~and~2~to~get~6.}[/tex][tex]\bold{Add~54~and~6~to~get~60.}[/tex]

[tex]4.)~54+3(4-1):[/tex]

[tex]\bold{Subtract~1~from~4~to~get~3.}[/tex][tex]\bold{Multiply~3~and~3~to~get~9.}[/tex][tex]\bold{Add~54~and~9~to~get~63.}[/tex]

______________________________

[tex]\bold{Answers:}[/tex]

[tex]\bold{Term~1=\boxed{54}}[/tex][tex]\bold{Term~2=\boxed{57}}[/tex][tex]\bold{Term~3=\boxed{60}}[/tex][tex]\bold{Term~4=\boxed{63}}[/tex]

______________________________

[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}[/tex]

Which of the following fractions can be represented by a terminating decimal?

A.

B.

C.

D.

Answers

You did not include any numbers within your question

Answer:

Step-by-step explanation:

After my salary was increased by 12%, it was $62,720. What was my salary before the increase?
I'll mark brainliest!

Answers

Answer

56,000

Step-by-step explanation:

solve question 2x + 13 =

Answers

Answer:

x= -6.5

Step-by-step explanation:

2x+13=0

2x=-13

x=-6.5

The answer above is correct my dude

Whick equation describes the line that passes through (-3, 1) and is parallel to the line y = 4x + 1?

Answers

Answer:

y = 4x + 13

Step-by-step explanation:

First of all, if they are parallel, they must have the same slope, so the 4x is the same. all we need to do now is to change the b to make it cross the point (-3, 1). Doing so, we see that the y-intercept becomes 13. Therefore, the equation is y = 4x + 13.

Kinsley's age is 7 years less than twice Jacob's age. If Kinsley is 13 years old, how old is Jacob? Choose the answer below that is a viable solution to this problem.
NEEED HELP PLZZ :(
A 5
B 10
C 1
D 2

Answers

Answer:

10x2= 20 -7 =13 :answer is 10.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Kinsey is 7 years less than twice Jacob's age. Let's call Jacob's age x. IF we call Jacob's age x, our equation can be 2x-7 = 13

2x - 7 = 13

2x = 20

x=10

Jacob is 10 years old.

#2) A 12-ounce bag of marbles contains 64 marbles. Assume the relationship between weight and number of marbles is proportional. How much would you expect a bag of 160 marbles to weight (in ounces)? *

Answers

Answer:

Step-by-step explanation:

a 12 ounce bag = 64 marbles

So first you want to find out how much each marble weighs. To do this divide 12 ounces by 64.

1 marble = [tex]\frac{12}{64} = \frac{3}{16} ounces[/tex]

To find the weight of 160 marbles, you just multiply the weight of 1 marble by 160.

160 marbles = [tex]\frac{3}{16}[/tex] ×[tex]160[/tex] = 30 ounces.

Which transformation of AB will produce a line segment A’B that is parallel to AB

Answers

Answer:

Step-by-step explanation:

Can someone tell me the answer I’ll give brainlist and points if you get it right

Answers

boi pretty sure the answer is 6

Please help I don’t know itt

Answers

Answer:

I'm not sure what the options are but those are perpendicular lines and they form a right angle. I hope this helped.

What is the slope of the line that passes through the points M (-3,5) and N (1,8)

Answers

Answer:

m=3/4

Step-by-step explanation:

See the attached above.

Hope it helps :)

The slope of line passing through M (-3,5) & N (1,8) will be 3/4.

We have been given a line passing through points M (-3,5) & N (1,8) .

We have to find out what will be the slope of the line ?

What is the formula for slope of a line ?

Slope of line is given by , m = (y2-y1) / (x2-x1).

Given that line is passing through points M (x1 , y1) and N (x2,y2) or M (-3,5) & N (1,8).

here , x1 = -3 , y1 = 5 , x2= 1 . y2 = 8

The slope (m) of line will be ;

∵ m = ( y2-y1) / (x2-x1)

m = ( 8-5) / (1- (-3))

m = 3 / 4

To learn more about slope of line click here ,

https://brainly.com/question/16949303

#SPJ6

Write an inequality to match the problem.
There are at least 28 days in every month.

Answers

Answer:

28 ≥ month

Step-by-step explanation:

x^2+6x≤-5 with an explanation pls

Answers

Answer:

−5≤x≤−1

Step-by-step explanation:hope that helps :)))

x2+6x=−5

x2+6x−(−5)=−5−(−5)(Subtract -5 from both sides)

x2+6x+5=0

(x+1)(x+5)=0(Factor left side of the equation)

x+1=0 or x+5=0(Set factors equal to 0)

x=−1 or x=−5

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x≤−5(Doesn't work in original inequality)

−5≤x≤−1(Works in original inequality)

x≥−1(Doesn't work in original inequality)

Answer:

−5≤x≤−1

Find the length of Y Z. Round your answers to the tenth, if necessary.
Y(-3,6)
Z(6,1)

Answers

Answer:

d=10.29563 or root 106

Step-by-step explanation:

Solve for X, and show the equation you would use to solve.

Answers

Answer:

x = 20

Step-by-step explanation:

There are both consecutive interior angles and are supplementary.

The equation should be written like this:

5x + 50 + x + 10 = 180

Step 1: Simplify both sides of the equation.

5x + 50 + x + 10 = 180

(5x+x) + (50+10) = 180 (Combine Like Terms)

6x + 60 = 180

Step 2: Subtract 60 from both sides.

6x + 60 − 60 = 180 − 60

6x = 120

Step 3: Divide both sides by 6.

[tex]\frac{6x}{6} = \frac{120}{6}[/tex]

x = 20

Hope it helps!!

Sue graphed the formula for converting temperatures from Fahrenheit to Celsius.
If the temperature is 50 degrees Fahrenheit, what is the temperature in Celsius?

Answers

Equations

This is an equation in the form of a proportion or ratio:

[tex]\displaystyle \frac{2}{x+3}=\frac{5}{4x}[/tex]

To solve it, we eliminate the denominators by multiplying by both of them.

Multiply by (x+3)(4x):

[tex]\displaystyle (x+3)(4x)\frac{2}{x+3}=(x+3)(4x)\frac{5}{4x}[/tex]

Simplify both sides:

[tex](4x)*2=(x+3)*5[/tex]

Operate:

[tex]8x=5x+15[/tex]

Simplify:

[tex]3x=15[/tex]

Solve for x:

[tex]x=15/3=5[/tex]

Solution: x=5

3/4 divided by 1/8 show work pls

Answers

Answer:

Step-by-step explanation:

a fraction divided by a fraction can be multiplied by the reciprocal. so...

instead of 3/4 ÷ 1/8, you do

3/4 * 8/1 which equals

24/4 which equals

Answer:

Step-by-step explanation:

3/4 ÷ 1/8 = 3/4 × 8/1 = 24/4 =6

*8×3=24 *4×1=4

*24÷4=6

At a sale, coats were sold for $136 each. This price was 85% of a coat's original price. How much did a coat originally cost?

Answers

The answer is 160
Hope this helps

Write a equation
The line which passes through (-3,-3) and (2, 1) point slope(ps)

Answers

y = 4/5x - 3/5 ur welcomee

PLEASE HELP ASAP WILL GIVE BRAINLIEST TO CORRECT ANSWER

Assuming you want to arrive as close to the scheduled time as possible, from which airline should you buy your ticket? Justify your response by addressing both the measures of center and spread of the distributions.

Answers

Answer:

Airline Q because it has the most on time arrivals and it is spread out to have more early arrivals than airline p

Step-by-step explanation:

Can someone just help me !

Answers

Answer:

[tex]\sqrt{a} 900[/tex] - 2

Step-by-step explanation:

I won't be answering using words.

1. (3a+2a)(6a²+1-3)

2. (5a)(6a²-2)

3. 6a² × 5a - 2 × 5a

4. 6a × 6a × 5a - 2 × 5a

5. 180a × 5a - 2

6. 900a - 2

7. [tex]\sqrt{a} 900[/tex] - 2

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