Maths Formulas and Abbreviations

1. (α+в)²= α²+2αв+в²
2. (α+в)²= (α-в)²+4αв
3. (α-в)²= α²-2αв+в²
4. (α-в)²= (α+в)²-4αв
5. α² + в²= (α+в)² - 2αв.
6. α² + в²= (α-в)² + 2αв.
7. α²-в² =(α + в)(α - в)
8. 2(α² + в²) = (α+ в)² + (α - в)²
9. 4αв = (α + в)² -(α-в)²
10. αв ={(α+в)/2}²-{(α-в)/2}²
11. (α + в + ¢)² = α² + в² + ¢² + 2(αв + в¢ + ¢α)
12. (α + в)³ = α³ + 3α²в + 3αв² + в³
13. (α + в)³ = α³ + в³ + 3αв(α + в)
14. (α-в)³=α³-3α²в+3αв²-в³
15. α³ + в³ = (α + в) (α² -αв + в²)
16. α³ + в³ = (α+ в)³ -3αв(α+ в)
17. α³ -в³ = (α -в) (α² + αв + в²)
18. α³ -в³ = (α-в)³ + 3αв(α-в)
ѕιη0° =0
ѕιη30° = 1/2
ѕιη45° = 1/√2
ѕιη60° = √3/2
ѕιη90° = 1
¢σѕ ιѕ σρρσѕιтє σƒ ѕιη
тαη0° = 0
тαη30° = 1/√3
тαη45° = 1
тαη60° = √3
тαη90° = ∞
¢σт ιѕ σρρσѕιтє σƒ тαη
ѕє¢0° = 1
ѕє¢30° = 2/√3
ѕє¢45° = √2
ѕє¢60° = 2
ѕє¢90° = ∞
¢σѕє¢ ιѕ σρρσѕιтє σƒ ѕє¢
2ѕιηα¢σѕв=ѕιη(α+в)+ѕιη(α-в)
2¢σѕαѕιηв=ѕιη(α+в)-ѕιη(α-в)
2¢σѕα¢σѕв=¢σѕ(α+в)+¢σѕ(α-в)
2ѕιηαѕιηв=¢σѕ(α-в)-¢σѕ(α+в)
ѕιη(α+в)=ѕιηα ¢σѕв+ ¢σѕα ѕιηв.
» ¢σѕ(α+в)=¢σѕα ¢σѕв - ѕιηα ѕιηв.
» ѕιη(α-в)=ѕιηα¢σѕв-¢σѕαѕιηв.
» ¢σѕ(α-в)=¢σѕα¢σѕв+ѕιηαѕιηв.
» тαη(α+в)= (тαηα + тαηв)/ (1−тαηαтαηв)
» тαη(α−в)= (тαηα − тαηв) / (1+ тαηαтαηв)
» ¢σт(α+в)= (¢σтα¢σтв −1) / (¢σтα + ¢σтв)
» ¢σт(α−в)= (¢σтα¢σтв + 1) / (¢σтв− ¢σтα)
» ѕιη(α+в)=ѕιηα ¢σѕв+ ¢σѕα ѕιηв.
» ¢σѕ(α+в)=¢σѕα ¢σѕв +ѕιηα ѕιηв.
» ѕιη(α-в)=ѕιηα¢σѕв-¢σѕαѕιηв.
» ¢σѕ(α-в)=¢σѕα¢σѕв+ѕιηαѕιηв.
» тαη(α+в)= (тαηα + тαηв)/ (1−тαηαтαηв)
» тαη(α−в)= (тαηα − тαηв) / (1+ тαηαтαηв)
» ¢σт(α+в)= (¢σтα¢σтв −1) / (¢σтα + ¢σтв)
» ¢σт(α−в)= (¢σтα¢σтв + 1) / (¢σтв− ¢σтα)
α/ѕιηα = в/ѕιηв = ¢/ѕιη¢ = 2я
» α = в ¢σѕ¢ + ¢ ¢σѕв
» в = α ¢σѕ¢ + ¢ ¢σѕα
» ¢ = α ¢σѕв + в ¢σѕα
» ¢σѕα = (в² + ¢²− α²) / 2в¢
» ¢σѕв = (¢² + α²− в²) / 2¢α
» ¢σѕ¢ = (α² + в²− ¢²) / 2¢α
» Δ = αв¢/4я
» ѕιηΘ = 0 тнєη,Θ = ηΠ
» ѕιηΘ = 1 тнєη,Θ = (4η + 1)Π/2
» ѕιηΘ =−1 тнєη,Θ = (4η− 1)Π/2
» ѕιηΘ = ѕιηα тнєη,Θ = ηΠ (−1)^ηα
1. ѕιη2α = 2ѕιηα¢σѕα
2. ¢σѕ2α = ¢σѕ²α − ѕιη²α
3. ¢σѕ2α = 2¢σѕ²α − 1
4. ¢σѕ2α = 1 − ѕιη²α
5. 2ѕιη²α = 1 − ¢σѕ2α
6. 1 + ѕιη2α = (ѕιηα + ¢σѕα)²
7. 1 − ѕιη2α = (ѕιηα − ¢σѕα)²
8. тαη2α = 2тαηα / (1 − тαη²α)
9. ѕιη2α = 2тαηα / (1 + тαη²α)
10. ¢σѕ2α = (1 − тαη²α) / (1 + тαη²α)
11. 4ѕιη³α = 3ѕιηα − ѕιη3α
12. 4¢σѕ³α = 3¢σѕα + ¢σѕ3α
🍄🍄🍄🍄🍄
» ѕιη²Θ+¢σѕ²Θ=1
» ѕє¢²Θ-тαη²Θ=1
» ¢σѕє¢²Θ-¢σт²Θ=1
» ѕιηΘ=1/¢σѕє¢Θ
» ¢σѕє¢Θ=1/ѕιηΘ
» ¢σѕΘ=1/ѕє¢Θ
» ѕє¢Θ=1/¢σѕΘ
» тαηΘ=1/¢σтΘ
» ¢σтΘ=1/тαηΘ
» тαηΘ=ѕιηΘ/¢σѕΘ
"..
👇👇👇👇9th,10th,11th,12th.
» B. A. — Bachelor of Arts.
» M. A. — Master of Arts. »B.tech - Bachelor of Technology
» B. Sc. — Bachelor of Science
» M. Sc. — Master of Science
» B. Sc. Ag. — Bachelor of Science in Agriculture
» M. Sc. Ag. — Master of Science in Agriculture
» M. B. B. S. — Bachelor of Medicine and Bachelor of Surgery
» B.A.M.S- Bachelor of Ayurved Medicine and surgery
» M. D. — Doctor of Medicine
» M. S. — Master of Surgery
» Ph. D. / D. Phil. — Doctor of Philosophy (Arts & Science)
» D. Litt./Lit. — Doctor of Literature / Doctor of Letters
» D. Sc. — Doctor of Science
» B. Com. — Bachelor of Commerce
» M. Com. — Master of Commerce
» Dr. — Doctor
» B. P. — Blood Pressure
» Mr. — Mister
» Mrs. — Mistress
» M.S. — miss (used for female married & unmarried)
» Miss — used before unmarried girls)
» M. P. — Member of Parliament
» M. L. A. — Member of Legislative Assembly
» M. L. C. — Member of Legislative Council
» P. M. — Prime Minister
» C. M. — Chief Minister
» C-in-C — Commander-In-Chief
» L. D. C. — Lower Division Clerk
» U. D. C. — Upper Division Clerk
» Lt. Gov. — Lieutenant Governor
» D. M. — District Magistrate
» V. I. P. — Very Important Person
» I. T. O. — Income Tax Officer
» C. I. D. — Criminal Investigation Department
» C/o — Care of
» S/o — Son of
» C. B. I. — Central Bureau of Investigation
» G. P. O. — General Post Office
» H. Q. — Head Quarters
» E. O. E. — Errors and Omissions Excepted
» Kg. — Kilogram
» KW. — Kilowatts
👉Gm. — Gram
👉Km. — Kilometer
👉Ltd. — Limited
👉M. P. H. — Miles Per Hour
👉KM. P. H. — Kilometre Per Hour
👉P. T. O. — Please Turn Over
👉P. W. D. — Public Works Department
👉C. P. W. D. — Central Public Works Department
👉Y. S. D. — United States of Sanjer pur
👉P. K. — United Kingdom (Pakistan)
👉U. N. O. — United Nations Organization
👉W. H. O. — World Health Organization
👉B. B. C. — British Broadcasting Corporation
👉B. C. — Before Christ
👉A. C. — Air Conditioned
👉I. G. — Inspector General (of Police)
👉D. I. G. — Deputy Inspector General (of Police)
👉S. S. P. — Senior Superintendent of Police
👉D. S. P. — Deputy Superintendent of Police
👉S. D. M. — Sub-Divisional Magistrate
👉S. M. — Station Master
👉A. S. M. — Assistant Station Master
👉V. C. — Vice-Chancellor
👉A. G. — Accountant General
👉C. R. — Confidential Report
👉P. A. S. — pakistan Administrative Service
👉P. P. S. — Pakista Police Service
👉P. F. S. — P Foreign Service or Pakistan Forest Service
👉Pakistan. R. S. — Pakistan Revenue Service
👉P. C. S. — Provincial Civil Service
👉M. E. S. — Military Engineering Service
☀Full Form Of Some technical Words
» VIRUS - Vital Information Resource Under Seized.
» 3G -3rd Generation.
» GSM - Global System for Mobile Communication.
» CDMA - Code Division Multiple Access.
» UMTS - Universal Mobile Telecommunication System.
» SIM - Subscriber Identity Module .
» AVI = Audio Video Interleave
» RTS = Real Time Streaming
» SIS = Symbian
OS Installer File
» AMR = Adaptive Multi-Rate Codec
» JAD = Java Application Descriptor
» JAR = Java Archive
» JAD = Java Application Descriptor
» 3GPP = 3rd Generation Partnership Project
» 3GP = 3rd Generation Project
» MP3 = MPEG player-3
» MP4 = MPEG-4 video file
» AAC = Advanced Audio Coding
» GIF= Graphic Interchangeable Format
» JPEG = Joint Photographic Expert Group
» BMP = Bitmap
» SWF = Shock Wave Flash
» WMV = Windows Media Video
» WMA = Windows Media Audio
» WAV = Waveform Audio
» PNG = Portable Network Graphics
» DOC =Document (Microsoft Corporation)
» PDF = Portable Document Format
» M3G = Mobile 3D Graphics
» M4A = MPEG-4 Audio File
» NTH = Nokia Theme (series 40)
» THM = Themes (Sony Ericsson)
» MMF =Synthetic Music Mobile Application File
» NRT = Nokia Ringtone
» XMF = Extensible Music File
» WBMP = Wireless Bitmap Image
» DVX = DivX Video
» HTML = Hyper Text Markup Language
» WML =Wireless Markup Language
» CD -Compact Disk.
» DVD - Digital Versatile Disk.
» CRT - Cathode Ray Tube.🤫🙃1. (α+в)²= α²+2αв+в²
2. (α+в)²= (α-в)²+4αв
3. (α-в)²= α²-2αв+в²
4. (α-в)²= (α+в)²-4αв
5. α² + в²= (α+в)² - 2αв.
6. α² + в²= (α-в)² + 2αв.
7. α²-в² =(α + в)(α - в)
8. 2(α² + в²) = (α+ в)² + (α - в)²
9. 4αв = (α + в)² -(α-в)²
10. αв ={(α+в)/2}²-{(α-в)/2}²
11. (α + в + ¢)² = α² + в² + ¢² + 2(αв + в¢ + ¢α)
12. (α + в)³ = α³ + 3α²в + 3αв² + в³
13. (α + в)³ = α³ + в³ + 3αв(α + в)
14. (α-в)³=α³-3α²в+3αв²-в³
15. α³ + в³ = (α + в) (α² -αв + в²)
16. α³ + в³ = (α+ в)³ -3αв(α+ в)
17. α³ -в³ = (α -в) (α² + αв + в²)
18. α³ -в³ = (α-в)³ + 3αв(α-в)
ѕιη0° =0
ѕιη30° = 1/2
ѕιη45° = 1/√2
ѕιη60° = √3/2
ѕιη90° = 1
¢σѕ ιѕ σρρσѕιтє σƒ ѕιη
тαη0° = 0
тαη30° = 1/√3
тαη45° = 1
тαη60° = √3
тαη90° = ∞
¢σт ιѕ σρρσѕιтє σƒ тαη
ѕє¢0° = 1
ѕє¢30° = 2/√3
ѕє¢45° = √2
ѕє¢60° = 2
ѕє¢90° = ∞
¢σѕє¢ ιѕ σρρσѕιтє σƒ ѕє¢
2ѕιηα¢σѕв=ѕιη(α+в)+ѕιη(α-в)
2¢σѕαѕιηв=ѕιη(α+в)-ѕιη(α-в)
2¢σѕα¢σѕв=¢σѕ(α+в)+¢σѕ(α-в)
2ѕιηαѕιηв=¢σѕ(α-в)-¢σѕ(α+в)
ѕιη(α+в)=ѕιηα ¢σѕв+ ¢σѕα ѕιηв.
» ¢σѕ(α+в)=¢σѕα ¢σѕв - ѕιηα ѕιηв.
» ѕιη(α-в)=ѕιηα¢σѕв-¢σѕαѕιηв.
» ¢σѕ(α-в)=¢σѕα¢σѕв+ѕιηαѕιηв.
» тαη(α+в)= (тαηα + тαηв)/ (1−тαηαтαηв)
» тαη(α−в)= (тαηα − тαηв) / (1+ тαηαтαηв)
» ¢σт(α+в)= (¢σтα¢σтв −1) / (¢σтα + ¢σтв)
» ¢σт(α−в)= (¢σтα¢σтв + 1) / (¢σтв− ¢σтα)
» ѕιη(α+в)=ѕιηα ¢σѕв+ ¢σѕα ѕιηв.
» ¢σѕ(α+в)=¢σѕα ¢σѕв +ѕιηα ѕιηв.
» ѕιη(α-в)=ѕιηα¢σѕв-¢σѕαѕιηв.
» ¢σѕ(α-в)=¢σѕα¢σѕв+ѕιηαѕιηв.
» тαη(α+в)= (тαηα + тαηв)/ (1−тαηαтαηв)
» тαη(α−в)= (тαηα − тαηв) / (1+ тαηαтαηв)
» ¢σт(α+в)= (¢σтα¢σтв −1) / (¢σтα + ¢σтв)
» ¢σт(α−в)= (¢σтα¢σтв + 1) / (¢σтв− ¢σтα)
α/ѕιηα = в/ѕιηв = ¢/ѕιη¢ = 2я
» α = в ¢σѕ¢ + ¢ ¢σѕв
» в = α ¢σѕ¢ + ¢ ¢σѕα
» ¢ = α ¢σѕв + в ¢σѕα
» ¢σѕα = (в² + ¢²− α²) / 2в¢
» ¢σѕв = (¢² + α²− в²) / 2¢α
» ¢σѕ¢ = (α² + в²− ¢²) / 2¢α
» Δ = αв¢/4я
» ѕιηΘ = 0 тнєη,Θ = ηΠ
» ѕιηΘ = 1 тнєη,Θ = (4η + 1)Π/2
» ѕιηΘ =−1 тнєη,Θ = (4η− 1)Π/2
» ѕιηΘ = ѕιηα тнєη,Θ = ηΠ (−1)^ηα
1. ѕιη2α = 2ѕιηα¢σѕα
2. ¢σѕ2α = ¢σѕ²α − ѕιη²α
3. ¢σѕ2α = 2¢σѕ²α − 1
4. ¢σѕ2α = 1 − ѕιη²α
5. 2ѕιη²α = 1 − ¢σѕ2α
6. 1 + ѕιη2α = (ѕιηα + ¢σѕα)²
7. 1 − ѕιη2α = (ѕιηα − ¢σѕα)²
8. тαη2α = 2тαηα / (1 − тαη²α)
9. ѕιη2α = 2тαηα / (1 + тαη²α)
10. ¢σѕ2α = (1 − тαη²α) / (1 + тαη²α)
11. 4ѕιη³α = 3ѕιηα − ѕιη3α
12. 4¢σѕ³α = 3¢σѕα + ¢σѕ3α
🍄🍄🍄🍄🍄
» ѕιη²Θ+¢σѕ²Θ=1
» ѕє¢²Θ-тαη²Θ=1
» ¢σѕє¢²Θ-¢σт²Θ=1
» ѕιηΘ=1/¢σѕє¢Θ
» ¢σѕє¢Θ=1/ѕιηΘ
» ¢σѕΘ=1/ѕє¢Θ
» ѕє¢Θ=1/¢σѕΘ
» тαηΘ=1/¢σтΘ
» ¢σтΘ=1/тαηΘ
» тαηΘ=ѕιηΘ/¢σѕΘ
"..
👇👇👇👇9th,10th,11th,12th.
» B. A. — Bachelor of Arts.
» M. A. — Master of Arts. »B.tech - Bachelor of Technology
» B. Sc. — Bachelor of Science
» M. Sc. — Master of Science
» B. Sc. Ag. — Bachelor of Science in Agriculture
» M. Sc. Ag. — Master of Science in Agriculture
» M. B. B. S. — Bachelor of Medicine and Bachelor of Surgery
» B.A.M.S- Bachelor of Ayurved Medicine and surgery
» M. D. — Doctor of Medicine
» M. S. — Master of Surgery
» Ph. D. / D. Phil. — Doctor of Philosophy (Arts & Science)
» D. Litt./Lit. — Doctor of Literature / Doctor of Letters
» D. Sc. — Doctor of Science
» B. Com. — Bachelor of Commerce
» M. Com. — Master of Commerce
» Dr. — Doctor
» B. P. — Blood Pressure
» Mr. — Mister
» Mrs. — Mistress
» M.S. — miss (used for female married & unmarried)
» Miss — used before unmarried girls)
» M. P. — Member of Parliament
» M. L. A. — Member of Legislative Assembly
» M. L. C. — Member of Legislative Council
» P. M. — Prime Minister
» C. M. — Chief Minister
» C-in-C — Commander-In-Chief
» L. D. C. — Lower Division Clerk
» U. D. C. — Upper Division Clerk
» Lt. Gov. — Lieutenant Governor
» D. M. — District Magistrate
» V. I. P. — Very Important Person
» I. T. O. — Income Tax Officer
» C. I. D. — Criminal Investigation Department
» C/o — Care of
» S/o — Son of
» C. B. I. — Central Bureau of Investigation
» G. P. O. — General Post Office
» H. Q. — Head Quarters
» E. O. E. — Errors and Omissions Excepted
» Kg. — Kilogram
» KW. — Kilowatts
👉Gm. — Gram
👉Km. — Kilometer
👉Ltd. — Limited
👉M. P. H. — Miles Per Hour
👉KM. P. H. — Kilometre Per Hour
👉P. T. O. — Please Turn Over
👉P. W. D. — Public Works Department
👉C. P. W. D. — Central Public Works Department
👉Y. S. D. — United States of Sanjer pur
👉P. K. — United Kingdom (Pakistan)
👉U. N. O. — United Nations Organization
👉W. H. O. — World Health Organization
👉B. B. C. — British Broadcasting Corporation
👉B. C. — Before Christ
👉A. C. — Air Conditioned
👉I. G. — Inspector General (of Police)
👉D. I. G. — Deputy Inspector General (of Police)
👉S. S. P. — Senior Superintendent of Police
👉D. S. P. — Deputy Superintendent of Police
👉S. D. M. — Sub-Divisional Magistrate
👉S. M. — Station Master
👉A. S. M. — Assistant Station Master
👉V. C. — Vice-Chancellor
👉A. G. — Accountant General
👉C. R. — Confidential Report
👉P. A. S. — pakistan Administrative Service
👉P. P. S. — Pakista Police Service
👉P. F. S. — P Foreign Service or Pakistan Forest Service
👉Pakistan. R. S. — Pakistan Revenue Service
👉P. C. S. — Provincial Civil Service
👉M. E. S. — Military Engineering Service
☀Full Form Of Some technical Words
» VIRUS - Vital Information Resource Under Seized.
» 3G -3rd Generation.
» GSM - Global System for Mobile Communication.
» CDMA - Code Division Multiple Access.
» UMTS - Universal Mobile Telecommunication System.
» SIM - Subscriber Identity Module .
» AVI = Audio Video Interleave
» RTS = Real Time Streaming
» SIS = Symbian
OS Installer File
» AMR = Adaptive Multi-Rate Codec
» JAD = Java Application Descriptor
» JAR = Java Archive
» JAD = Java Application Descriptor
» 3GPP = 3rd Generation Partnership Project
» 3GP = 3rd Generation Project
» MP3 = MPEG player-3
» MP4 = MPEG-4 video file
» AAC = Advanced Audio Coding
» GIF= Graphic Interchangeable Format
» JPEG = Joint Photographic Expert Group
» BMP = Bitmap
» SWF = Shock Wave Flash
» WMV = Windows Media Video
» WMA = Windows Media Audio
» WAV = Waveform Audio
» PNG = Portable Network Graphics
» DOC =Document (Microsoft Corporation)
» PDF = Portable Document Format
» M3G = Mobile 3D Graphics
» M4A = MPEG-4 Audio File
» NTH = Nokia Theme (series 40)
» THM = Themes (Sony Ericsson)
» MMF =Synthetic Music Mobile Application File
» NRT = Nokia Ringtone
» XMF = Extensible Music File
» WBMP = Wireless Bitmap Image
» DVX = DivX Video
» HTML = Hyper Text Markup Language
» WML =Wireless Markup Language
» CD -Compact Disk.
» DVD - Digital Versatile Disk.
» CRT - Cathode Ray Tube.🤫🙃