Feed Alizr
Advertisement
  • Auto
  • Business
  • Education
  • Finance
  • Health
  • Home
  • Law
  • Real Estate
  • Shopping
  • Tech
  • Travel
No Result
View All Result
  • Auto
  • Business
  • Education
  • Finance
  • Health
  • Home
  • Law
  • Real Estate
  • Shopping
  • Tech
  • Travel
No Result
View All Result
Feed Alizr
No Result
View All Result
Home Education

Relation Between Mathematical Functions

Andrea Cole by Andrea Cole
in Education
0
Relation Between Mathematical Functions
0
SHARES
59
VIEWS
Share on FacebookShare on Twitter

In Maths, we come across many different concepts such as arithmetic operations, geometry, algebra, calculus, trigonometry, statistics and probability, etc. Each concept is very important and gives us immense knowledge about using logic in real life. With the help of these concepts, we can easily do mathematical calculations quickly. Learning mathematics improves problem-solving skills.

All the topics in Maths are diverse and help to calculate different types of questions. But there are few topics which are interlinked with each other. For example, addition and subtraction both are different operations but they are related to each other. If we add 5 to 5 we get 10, 5 + 5 =10. But if we subtract 5 from 10 we get 5 again. So we can say, addition is the inverse function of addition.

Similarly, multiplication is the inverse function of the division. If we multiply a by b we get the result as ab, but if we divide ab by b then we get back ‘a’ as a result. One should not get confuse multiplicative inverse with the inverse of multiplication. Let us understand with an example.

Suppose we have to multiply 3 by 4, then we get 3 x 4 = 12. Now, the multiplicative inverse of 12 will give the value which when multiplied by 12 again, it will be equal to the identity. Hence, the multiplicative inverse of 12 is 1/12 or 12-1, such as;

12 x 1/12 = 1

Now if we have to find the inverse of multiplication of 3 x 4 = 12, then we need to divide 12 by 4 to get back 3 as an answer, such as;

12/4 = 3

In the same way, there are many inverse functions in Maths which returns the original value for which function gave the output. Let us say, if f(x) is a function then its inverse function is given by f-1(x). Let us take an example of algebra. Say f(x) = 2x+3 = y, where x and y is an arbitrary constant.

2x+3 = y

2x=y-3

x=(y-3)/2

So we can write this function now as f-1(y) = (y-3)/2

In trigonometry, we have inverse functions such as inverse sine, inverse cosine and inverse tangent. But by inverse sine, we do not mean that it will be equal to its reciprocal, which is a cosine function. The inverse of any trigonometry function will return the value of the angle for which the trig function has generated the output. For example, sin 90 = 1 and sin-1 (1) = sin-1 (sin 90) = 90 degrees. Similarly, for inverse cos and inverse tan functions, the same definition applies. See examples below for better understanding.

Cos 90 = 0 ←→ cos-1(0) = cos-1 (cos 90) = 90 degrees

Tan 45 = 1 ←→ tan-1(1) = tan-1 (tan 45) = 45 degrees

But reciprocal functions are different from inverse functions. Let us see the reciprocals of trigonometric functions.

1/Sin A = Cosec A or 1/Cosec A = Sin A

So, if we multiply sine and cosec of the same angle, then the value will be equal to 1.

Sin A x Cosec A = Sin A x 1/Sin A = 1

Similarly, the reciprocals of cos and tan can be written as:

1/Cos A = Sec A

1/Tan A = Cot A

So, basically reciprocals are nothing but the multiplicative inverse of the value or function. Both are the same. These were some of the relationships between the mathematical functions.

Previous Post

Online Poker Games

Next Post

Why Buy Term Insurance? Here Are 7 Reasons

Andrea Cole

Andrea Cole

Next Post
Why Buy Term Insurance? Here Are 7 Reasons

Why Buy Term Insurance? Here Are 7 Reasons

  • Trending
  • Comments
  • Latest
Interior Decor Strategies For Your Family Room

Interior Decor Strategies For Your Family Room

May 20, 2020
If You Want To Add Real Value to your Property, Then Install UPVC Windows & Doors.

If You Want To Add Real Value to your Property, Then Install UPVC Windows & Doors.

December 20, 2019
Fitness Lifestyle Is The easy way Boost Body Fitness and well-being – Stop Dieting and begin Eating!

Fitness Lifestyle Is The easy way Boost Body Fitness and well-being – Stop Dieting and begin Eating!

August 22, 2020
The Very Best Medical Health Insurance Providers within the U . s . States

The Very Best Medical Health Insurance Providers within the U . s . States

June 11, 2020
How to Select a Trusted Provider of Packaging Supplies

How to Select a Trusted Provider of Packaging Supplies

0
Email Autoresponders Are Perfect Marketing Tools

Email Autoresponders Are Perfect Marketing Tools

0
Criminal Law: The Important Thing to some Better Place

Criminal Law: The Important Thing to some Better Place

0
Becoming The Best Realtor In The World

Becoming The Best Realtor In The World

0
How to Select a Trusted Provider of Packaging Supplies

How to Select a Trusted Provider of Packaging Supplies

July 4, 2022
Tips for Getting Your Ducted Heating System Ready for Winter

Tips for Getting Your Ducted Heating System Ready for Winter

June 27, 2022
5 Best hotels in India that need to be on your bucket list

5 Best hotels in India that need to be on your bucket list

June 27, 2022
Finest fit-outs in Melbourne

Finest fit-outs in Melbourne

June 17, 2022

Recent Posts

  • How to Select a Trusted Provider of Packaging Supplies July 4, 2022
  • Tips for Getting Your Ducted Heating System Ready for Winter June 27, 2022
  • 5 Best hotels in India that need to be on your bucket list June 24, 2022
  • Finest fit-outs in Melbourne June 17, 2022
  • Eight Tips to Enjoy Your Summer Holidays June 15, 2022
  • Cloud Hosting – Tips To Choose The Best Plan June 8, 2022
  • What Are Wheeling Charges On Your MSEDCL Bill? May 27, 2022

2022

  • – July (1)
    • How to Select a Trusted Provider of Packaging Supplies
  • + June (5)
  • + May (4)
  • + April (3)
  • + March (7)
  • + February (3)
  • + January (2)

2021

  • + December (10)
  • + November (11)
  • + October (5)
  • + September (6)
  • + August (9)
  • + July (8)
  • + June (8)
  • + May (9)
  • + April (3)
  • + March (13)
  • + February (6)
  • + January (7)

2020

  • + December (10)
  • + November (8)
  • + October (8)
  • + September (6)
  • + August (17)
  • + July (8)
  • + June (11)
  • + May (14)
  • + April (13)
  • + March (8)
  • + February (9)
  • + January (3)

2019

  • + December (6)
  • + November (2)
  • + October (3)
  • + September (4)
  • + August (8)
  • + July (19)
  • + June (15)
  • + May (9)
  • + April (10)
  • + March (4)
  • + February (10)
  • + January (7)
No Result
View All Result

Tags

criminal defense lawyer Delhi to Hyderabad flights Delhi to Hyd flights divorce lawyer hardwood decking Brisbane Hyderabad to Mumbai flights industrial roofing Perth Mumbai to Hyderabad flights nose augmentation NSW swimming pool compliance Personal Injury Attorney SEO stainless steel fabrication UPVC windows and doors
July 2022
M T W T F S S
 123
45678910
11121314151617
18192021222324
25262728293031
« Jun    

Browse by Category

  • Auto
  • Business
  • Education
  • Featured
  • Finance
  • Gambling
  • Health
  • Home
  • Investment
  • Law
  • News
  • Pet
  • Real Estate
  • Shopping
  • Tech
  • Travel
  • Wedding

Recent News

How to Select a Trusted Provider of Packaging Supplies

How to Select a Trusted Provider of Packaging Supplies

July 4, 2022
Tips for Getting Your Ducted Heating System Ready for Winter

Tips for Getting Your Ducted Heating System Ready for Winter

June 27, 2022
  • Reach Us

© 2021 Feed Alizr. All Rights Reserved.

No Result
View All Result

© 2021 Feed Alizr. All Rights Reserved.