Complete the steps to derive the cofunction identity.

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

Mudrik installed a device on his car that
guaranteed to increase his gas mileage
by 15%. He currently gets 22 miles per
gallon. How much will the gas mileage
increase after installing the device?

Answers

Answer:

His mileage will increase 3.3 miles to the gallon

Step-by-step explanation:

d + 12 = 14 - 2d
Find d

Answers

Answer:

d = 2/3

Step-by-step explanation:

Answer:

I believe d=0.6666667 or 2/3

Step-by-step explanation:

d=2-2d

3d=2

d=0.66

Find the root(s) of f(x) = (x + 5)2(x - 9)2(x + 1).
-5 with multiplicity 3
5 with multiplicity 3
-9 with multiplicity 2
9 with multiplicity 2
-1 with multiplicity 0
-1 with multiplicity 1
N1 with multiplicity o
with multinlicity 1

Answers

Answer:

x = -5,-1, 9. -1 with multiplicity 1, 9 with multiplicity 1, and -5 with multiplicity 1.

Step-by-step explanation:

the coefficients do not change the roots of the equation but rather the local minima and maxima, and Minimum or Maximum depending on the function.

Answer:

-1 with multiplicity 1

The graph below showed the amount of money Jason saved over a 5 month period.
Part A write an equation that represents the graph

Answers

Answer:

owo

Step-by-step explanation:

Dividing integers
-2/15 divided by 11/30

Answers

Answer:

-0.36363636363

Step-by-step explanation:

Divide it.

Describe three situations in which rounding could come in handy.

Answers

Answer:

1. They help you with estimation

2. It makes numbers simpler and easier to do

3. Makes mental maths much quicker

How do you solve this absolute value equation ?

|x + 7| = 3x - 5

Answers

Hope this helps :) X=6

Answer:

x=6

Step-by-step explanation:

x+7=3x-5

add 5 to both sides

x+12=3x

subtract x from both sides

12=2x

divide by 2 on both sides

6=x

8. A line passes through the points (0-2) and (0,5). Is it possible to write an equation of the line in
slope-intercept form? Justify your answer.

Answers

Answer: No

Step-by-step explanation:

There is no slope

It is not possible to write the equation of the line passing through (0, -2) and (0, 5), because slope is not defined.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given that a line passes through two points (0, -2) and (0, 5).

Both the points are on Y axis.

Therefore the line is along the Y axis.

Slope of a line along the Y axis is not defined since the Y axis is making 90° with the X axis and tan 90° is the slope, which is not defined.

Or in other words, taking the given points,

slope = change in y coordinates / change in x coordinates

         = (5 - -2) / (0 - 0)

         = 7 / 0, not defined.

Hence the equation of the line along the Y axis cannot be written in the slope intercept form as the slope is undefined.

To learn more about Slope, click :

https://brainly.com/question/29027297

#SPJ2

whats the answer?
what is algebra

Answers

Answer;

algebra is the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations

Step-by-step explanation:

whats the question

PLEEASE I REALLY NEED HELP!!!!

Answers

Answer:

a) CA because cpctc :) ahsjdne

What is the point slope of a line with the slope 4 that contains the point (-3, -4) ?
A. y + 4 = -4 (x + 3)
B. y - 4 = -4 (x - 3)
C. y - 4 = 4 (x - 3)
D. y + 4 = 4 (x + 3)

Answers

Answer:

Correct choice: D.

[tex]y+4=4(x+3)[/tex]

Step-by-step explanation:

The point-slope form of the equation of a line is:

[tex]y-k=m(x-h)[/tex]

Where m is the slope and (h,k) is a point through which the line passes.

According to the question, the slope of a line is m=4 and it contains the point (-3,-4), thus, replacing the values:

[tex]y-(-4)=4(x-(-3))[/tex]

Operating:

[tex]\boxed{y+4=4(x+3)}[/tex]

Correct choice: D.

help me im stoopid lol

Answers

Answer: 6

Step-by-step explanation:

Plug in x for 1

Y=-4(1)+10

Y=-4+10

Y=6

3x-(2-4x) x is a variable
3x-(2+4x)
PLEASE ANSWER ASAP TEACHER CALLED ON ME

Answers

Answer:

Your answer is: - x - 2

Simplify the expression.

Step-by-step explanation:

Hope this helped : )

parker jogged 5 kilometers one mile is approximately equal to 2.2 kilometers which measurement is closest to the number of miles parker jogged.

Answers

Answer:

the number of miles is 3.107 miles

The platform of a roller coaster is 12 feet off the ground. The first hill rises an additional 102 feet. The first drop is 90 feet. How far off the ground is the rollercoaster after the first drop?

Answers

Answer:

The roller coaster is 24 feet above the ground after the first drop.

Step-by-step explanation:

12 feet + 102 feet - 90 feet = 24 feet.

Answer:

The roller coaster is 24 feet above the ground after the first drop.

Step-by-step explanation:

Carla makes $18.50 per hour. Calculate her earnings for a 30 hour week.
Gross Earnings
Taxes Withheld
Social Security Tax
Gross Pay:
$33.48
Medicare Tax
$7.83
Federal Tax
$65.50
Total Amount of Withholdings/
$21.60
Deductions:
State Tax
Deductions
Net Pay:
Net Earnings

Answers

Answer:

Her earnings would be $555

Answer:It's b

Step-by-step explanation:

You decide to borrow a loan of $2,500 to go on vacation. The banks loans you the money at 9%for 7 months. How much interest will you pay?

Answers

Answer:

umm 1500? hmqmmmmmm

ye

4. Write the modal class of the following frequency distribution:
Class interval
10-20 , 20 - 30 ,30 - 40, 40-50, 50 - 60

Frequency..
33
38
65
52
19
48​

Answers

The modal class, or mode class, is the class that has the highest frequency. Visually on a bar graph or histogram, it is the bar that is the tallest.

In this case, the highest frequency is 65 which corresponds to the class 30-40. The third frequency is the highest, so the third class is the modal class.

Answer: The interval 30-40 is the modal class

The halfway point between 300,000 and 400,000

Answers

350,000 is halfway pint

Answer:

350,000

Step-by-step explanation:

hope this helped!!!

Please Help Quickly!! 8 points

Select the correct answer.

How many solutions for x does the following equation have?


3(x + 8) − 1 = 3x + 4


A.

4

B.

0

C.

1

D.

infinite

Answers

THE ANSWER IS (B. 0 )There are no values of
x that make the equation true.
No solution

Answer:

pretty much the answer is 7=4 which isnt possible so theres 0 solutions :)

Step-by-step explanation:

May you please help me!? (Also may you please show your work so I understand?)

Answers

Answer:

(2,3) (-2,1) (-4,-1) (4,-1) (4,-2) (0,-3)

Step-by-step explanation:

its x then y so you would find the number on the line the dot is on going from left to right for x, then for y go from up to down. also the answers are going from the top of the page, down. hope i helped!

V I’mhjhvcbjvcvjhvvvggujvvcghhhvcccgggghh

Answers

Answer:

the like terms were not grouped together.

-1.1 devide by -2 need help with this

Answers

Answer:

Step-by-step explanation:

-1.1 divided by -2 would be -3

Answer:

11/20 or 0.55

Step-by-step explanation:

-1.1÷-2=0.55

Jack reads his book for 8 minutes before school and 10 minutes after school. He attends school Monday through Friday. Which equation shows how many minutes Jack reads his book in two weeks? A. (8 × 5) + (10 × 5) = 40 + 50 = 90 minutes B. (8 × 8) + (10 × 10) = 64 + 100 = 164 minutes C. (8 × 10) + (10 × 10) = 80 + 100 = 180 minutes D. (8 × 14) + (10 × 14) = 112 + 140 = 252 minutes

Answers

Answer:

(8 × 10) + (10 × 10) = 80 + 100 = 180 minutes

Step-by-step explanation:

It is given that, Jack reads his book for 8 minutes before school and 10 minutes after school.

No of days between Monday to Friday = 5

No of days between Monday to Friday in 2 weeks = 10

We need to find how many minutes Jack reads his book in two weeks.

For 10 days, before school = (8 × 10) min = 80 minutes

For 10 days, after school = (10 × 10) min = 100 minutes

It means, total time will be :

T = (8 × 10) min + (10 × 10) min

T = 80 + 100

T = 180 minutes

Hence, the correct option is (C).

Can someone help me omg :( this is stressful

Answers

Answer:

7

Step-by-step explanation:

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction

Step 1: Write expression

7(16 ÷ 4²)

Step 2: Evaluate

Parenthesis - Exponents: 7(16 ÷ 16)Parenthesis - Division: 7(1)Multiplication: 7
I’ll break this down into steps for you:
(Step 1) - you’re going to do 4 squared, which equals 16
(Step 2) - you’re going to do 16 divided by 16, which equals 1
(Step 3) - you’re going to do 7 times 1, which equals 7

This should be the correct way to solve this. I hope this helps you.

Find the sum or the difference a. -2.63+3/1/4

Answers

Answer:

-1.88

Step-by-step explanation

Put both terms in decimal form. -2.63 is already in decimal form, so, you only have to put 3 1/4 in decimal form.

So, -2.63+0.75=-1.88

need help with this​

Answers

Answer:

Slope-int form: y = 3x+5

Standard form: y - 3x = 5.

Step-by-step explanation:

(reminder: slope-intercept form is expressed as y=mx+b, and standard form is expressed as ax+bx=c.)

Since the slope is 3, the coefficient of x is also 3, which makes the equation y=3x.

But the y coordinate of the equation at x = -2 is -6, so we need to add 5 to the end of the equation, leaving you with:

y=3x+5.

To convert it to standard form, subtract 3x from both sides:

y - 3x = 5.

I hope this helped you.

What is the slope, the Y-intercept and the equation for this graph??

Answers

try y=1/2x + 1 i did solved for the slop .

Answer:

equation of the line: y=1/2x-1

slope :1/2x

y intercept: -1

Step-by-step explanation:

using y1-y2/x1-x2:

-1-0/0-2= -1/-2=1/2

the slope is 1/2.

plug in the numbers from the given points to find the y intercept:

-1=1/2•0+b

b= -1

the y intercept is -1.

with that, you've gotten the slope and the y intercept, which means you just have to plug them into y=mx+b.

so, the equation of the line is y=1/2x-1

4. Solve the equation x2 = 10​

Answers

Answer:

x=5

Step-by-step explanation:

u should know this not that hard to do

A store sells a shirt discounted by 10%. A coupon is used for an additional 10% off the discounted price. What is the total percentage discounted off the shirt? (PLEASE HELP ME)

Answers

Answer:

20%

Step-by-step explanation:

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