Lesson. Derative of trigonometric functions

Lesson. Derative Of Trigonometric Functions

Answers

Answer 1

Answer:

Step-by-step explanation:

What are the Derivatives of the 6 Trig Functions?

Derivation of sin x: (sin x)' = cos x.

Derivative of cos x: (cos x)' = -sin x.

Derivative of tan x: (tan x)' = sec2 x.

Derivative of cot x: (cot x)' = -cosec2 x.

Derivative of sec x: (sec x)' = sec x. tan x.

Derivative of cosec x: (cosec x)' = -cosec x. cot x.


Related Questions

1) Find the value of x

2) Justify your answer by explaining the series of angle relationships used to prove the value of x.

Answers

Answer:

65

Step-by-step explanation:

hello dear!

suppose that y and x are the straight line.

as we know that:

115=y (reason: corresponding sides are equal in parallel lines)

now,

y + x= 180(straight angle)

now we keep the value of y i.e. 115

115+x=180

x=180-115

x=65

as there is parallel lines m and n, the angles between them i.e. corresponding angle are equal to each other .

so therefore, the value of x = 65°

hope it helps!

What is the mass of an object with a density of 3 g/mL and a volume of 112.5 mL? Show all work.

Answers

Answer:

337.5

Step-by-step explanation:

Based on the given conditions, formulate 3 112.5

Calculate the product or quotient: 337.5

If you want to divide 4 by 2/5 you can multiply 4 by 5, then divide it by 2 or multiply it by 1/2.

Answers

Step-by-step explanation:

to divide by a fraction is the same as to multiply by the upside-down fraction.

in your example

4 / 2/5 = 4 × 5/2 = 20/2 = 10

by the way, also a whole number is a fraction.

4 = 4/1

so, fully formal, the whole operation above looks like

(4/1) / (2/5) = (4/1) × (5/2) = (4×5) / (1×2) = 20/2 = 10/1 = 10

why did j ernest wilkins jr was the first to do something significant in math

Answers

Answer:

guess hes just smart

Step-by-step explanation:

The table shows the transportation method of employees at a certain company. What percent of the employees walk to work?

Answers

Answer:

0.5% of employees walk to work.

Step-by-step explanation:

y = 7x + 3, if x = 3

Answers

y=24

Step-by-step explanation:

y=7*3 +3

y=21+3

y=24

Please answer this question

Answers

Answer:

Median : 11.5, or 12 if you round it up.

Mean : 10.9 rounded up 10.875 not rounded.

Hope this help's, enjoy!

please help

The Finance Committee: Nine members of a finance committee could not get together for an emergency meeting. However, during the next three days, each member talked to each other member on the telephone. What is the minimum number of phone calls needed to accomplish this?

The Merry-Go-Round: On a merry-go-round, 12 horses are evenly spaced on the outside perimeter. It takes four seconds for the fourth horse to reach Abe,starting when the first horse is opposite him. How long will it take the merry-go-round to go around once?

Answers

Answer:

1) How does "Abe" relate to the merry-go-round? (The problem doesn't seem to say.)

2) How many people did each person provide for? So how many dozens were brought? How many are in a dozen? So how many cookies were brought?

Step-by-step explanation:

nm the top

There are n seats on a merry- go-round. A boy takes n rides. Between each ride, he moves clockwise a certain number of places to a new horse. Each time he moves a different number of places. Find all n for which the boy ends up riding each horse.

2) So if there are n horses, first the boy could move by one place then he could move by n+1 places then by 2n+1 so on and so forth, until he moves (n−2)n+1 places, in which case he'd would have been ridden each horse only one time and taken unique number of steps, which implies that all n's satisfy given condition.

1) I don't know how to cancer this let me resheerch and ill get back to you

P>S let this be help only if you need to annotate or reword thx

Use the graph below to find the x-and y-intercepts.
x-intercept : 2 ; y -intercept : 6

x- intercept: - 3; y-intercept : 6


X -intercept : 2 ; y -intercept : -3

X -intercept : 6; y-intercept : 2

Answers

Answer:

x-intercept : -3 and y-intercept 6

Step-by-step explanation:

x-intercept is the point where the graph crosses the x-axis.

y-intercept is the point where the graph crosses the y-axis.

BRAIN LIST
BRAIN LIST

Answers

the answer would be the third choice ;)

6. Kori is on a road trip to Colorado, and uses the equation y = 60x+ 200 to determine the
number of miles she has driven after x hours. If she drives for a maximum of 12
hours, what is the domain of this situation?

Answers

Answer:   0 < x ≥ 12

Step-by-step explanation:

The domain is the set of x-values for which the equation is true.

Since the maximum time is 12 hours, then the domain is less than or equal to 12.Since time can't be negative or 0, then the minimum is greater than 0.

          ∴ domain would be      0 < x ≥ 12

Identify if the given statement is true or false.
The incenter is the point of concurrency of the altitudes of a triangle.
True or False

Answers

Answer:

false, true, false

Step-by-step explanation:

convert the equation 2x - 4y = 16 to slope intercept form

Answers

Answer:

y = 1/2x -4

Step-by-step explanation:

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

2x-4y = 16

Subtract 2x from each side

2x-4y-2x = -2x+16

-4y =-2x+16

Divide each side by -4

-4y/-4 = -2x/-4 +16/-4

y = 1/2x -4

The slope is 1/2 and the y intercept is -4

one out of three plus 2 out of three?
ASAP HELP

Answers

Answer:

the answer is one whole or one out of one

a red die is tosses and then a green die is tossed. what is the probability that the red die shows a six and the green die shows six?

Answers

1/12 chance I believe

what is the value of x in this figure

Answers

Answer:

43°

Step-by-step explanation:

the blue angle is congruent with the 80° because they are vertical angles

the red angle is 57° because 123° and 57° angles are supplementary angles

the green angle is 43° because the sum or angles in a triangle is 180°

MARKING BRAINLEIST IF YOUR RIGHT !!

Answers

Step-by-step explanation:

slope =3/2

that is the answer

3/2 is the answer …………………….

Perform the operation. Enter your answer in scientific notation.
9 x 10^*8 - 5.3 x 10^*8 =

Answers

Answer:

3.7x10^8

Step-by-step explanation:

did it on calc

5 phần 4 cộng x bằng trừ 1 phần 2

Answers

Answer:

5

-

2..................

Parallel to y=1/8x; through (-8.-8)

Answers

Answer:

.

Step-by-step explanation:

what are you supposed to be finding ? parallel lines , equation , slope intercept form etc

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Skill plants
Eureka Math - 7th grade
>
5.8 Solve two-step equations: word problems D2Y
Tutor
Zack sold 3 of his old hockey sticks at Refreeze Secondhand Sports Shop. Before he left, he
spent $25 of his earnings on a used pair of hockey gloves. He had $71 remaining. How much
did Zack receive for each hockey stick?
Submit

Answers

$32 for each hockey stick

Step-by-step explanation:

71+25=96

96 divided by 3= 32

Zack received $32 for each hockey stick he sold. He earned $96 in total from selling 3 sticks after deducting $25 for gloves, leaving him with $71.

Given that Zack sold 3 old hockey sticks and earned a total amount of money.

He spent $25 of his earnings on a pair of used hockey gloves.

After buying the gloves, he had $71 remaining.

Now, we need to find out how much Zack received for each hockey stick.

Let's assume the amount he received for each hockey stick is "x" dollars.

Total earnings from selling the hockey sticks = Number of sticks sold × Amount received per stick

Total earnings = 3x

Zack spent $25 on gloves and had $71 remaining, so we can write this equation:

Total earnings - Amount spent = Remaining money

3x - 25 = 71

Now we can solve for x (the amount received for each hockey stick):

3x - 25 = 71

Add $25 to both sides:

3x = 96

Divide both sides by 3:

x = $32

So, Zack received $32 for each hockey stick he sold.

To learn more on Equation click here:

https://brainly.com/question/10413253

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A group of friends wants to go to the amusement park. They have no more than $280
to spend on parking and admission. Parking is $19.50, and tickets cost $33.75 per
person, including tax. Which inequality can be used to determine p, the maximum
number of people who can go to the amusement park?

Answers

Answer:

Step-by-step explanation:

5.25 + 17.75x ≤ 165

17.75x ≤ 159.75

x = 9 people (Assuming they all fit in one vehicle)

Wish You the Best in your Studies.

The number of people who can enter in the amusement park is 7.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Several buddies want to visit the theme park. They may only spend a total of $280 for parking and entrance. Tickets cost $33.75 per person, including tax, and parking is $19.50.

Let p be the number of people who can enter in the amusement park. Then the inequality is given as,

33.75p + 19.50 ≤ 280

Simplify the inequality, then the value of p is given as,

33.75p + 19.50 ≤ 280

33.75p ≤ 260.50

p ≤ 7.72

Thus, the number of people who can enter in the amusement park is 7.

More about the inequality link is given below.

https://brainly.com/question/19491153

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Hurry leaving for church

Answers

Answer:

250 ft/mile

Step-by-step explanation:

.. ......................

Hey guys, our adviser showed us an example on how to solve the problem that is given in our module. Unfortunately, there's a part of the given example that I can't recall. So, can you explain how to get the answer? (picture above)​

Answers

Given :

45x[ 4/9 = 1/5 + 1/x ]

To Do :-

To multiply 45x to all the terms .

Solution :-

Given that ,

45x[ 4/9 = 1/5 + 1/x ]

Distributive property of Multiplication over addition ,

a( b + c ) = ab + ac

So that ,

45x * 4/9 = 45x* 1/5 + 45 x * 1/x 5x * 4 = 9x + 45 20x = 9x + 45

Step-by-step explanation:

As it says, multiply 45x to all the terms. This is required to get rid of fractions.

See the steps below:

45x [ 4/9 = 1/5 + 1/x]45x(4/9) = 45x(1/5) + 45x(1/x)    ⇒ multiply5x(4) = 9x + 45                          ⇒ simplify20x = 9x + 45                            ⇒ end result without fractions

The graph below represents the motion of a car.




What is the average speed of the car?

Answers

Answer: 2 Kilometers(km) a minute(min).

Step-by-step explanation:

If we look at the graph, the 1km and 2min meet.

Answer:

24 km/h

Step-by-step explanation:

The graphic shows 4 km in ten minutes

[tex]s=\frac{4 km}{10 min} (\frac{60 min}{1 hour}) =\frac{(4)(60)}{10} =24km/hr[/tex]

I hope this help you

F (x) = 3x + 7
F (-4) =
F (2) =

Answers

Answer:

f(-4)=3(-4)+7=0

f(2)=3(2)+7=13

Answer:

Step-by-step explanation:

f(x) = 3 x+7

f(x) = 3 x + 7

f(-4) = 3*-4 + 7

f(-4) = -12 + 7

f(-4) = -5

f(x) = 3 x + 7

f(2) = 3*2+7

f(2) = 6 + 7

f(2) = 13.

:f(-4) =-5 , f(2) =13

The pages of a book are numbered 1 to 200 and each leaf is 0.15 mm thick. If each cover is 2.5 mm thick, calculate the thickness of the book. give your answer in
mm , cm , m

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Thickness of the book is ~

[tex]20 \: mm = 2 \: cm = 0.02m[/tex]

Refer to the attachment for solution ~

2x √3x+1
Find the derivative

Answers

Answer:
3 3/2 x1/2
explanation:
download math-way it helps a lot

Answer:

3 3/2x1/2

Step-by-step explanation:

D is on side AB of triangle ABC. We know triangle ABC ~ triangle ACD and angle A = 48 degrees. If BC = CD what is angle B in degrees

Answers

Answer:4/6

Step-by-step explanation:

The measure of angle ∠B will be 66 degrees.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

D is on side AB of triangle ABC. We know triangle ABC is similar to triangle ACD and angle A = 48 degrees. If BC = CD.

∠ABC = ∠ACB = x (Isosceles triangle property)

In △ABC, the angle sum is 180°. Then we have

∠ABC + ∠ACB + ∠ABC = 180°

x + x + 48° = 180°

2x = 132°

x = 66°

Then

∠BCA = ∠BCD + ∠DCB = 66°

∠BCD = 66° − 18°

∠BCD = 48°

Now, In ΔBCD, then we have

∠BCD + ∠BDC + ∠DBC = 180°

48° + ∠BDC + 66° = 180°

∠BDC = 66°

We know that ∠BDC = ∠DBC,

∠DBC = ∠BDC

∠DBC = 66°

The measure of angle ∠B will be 66 degrees.

More about the triangle link is given below.

https://brainly.com/question/25813512

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What is the coefficient in the expression 8−x7? Question 7 options: −7 7 17 −17

Answers

Answer:

7

Step-by-step explanation:

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