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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
19. ѕιη2α = 2ѕιηα¢σѕα
20. ¢σѕ2α = ¢σѕ²α − ѕιη²α
21. ¢σѕ2α = 2¢σѕ²α − 1
22. ¢σѕ2α = 1 − ѕιη²α
23. 2ѕιη²α = 1 − ¢σѕ2α
24. 1 + ѕιη2α = (ѕιηα + ¢σѕα)²
25. 1 − ѕιη2α = (ѕιηα − ¢σѕα)²
26. тαη2α = 2тαηα / (1 − тαη²α)
27. ѕιη2α = 2тαηα / (1 + тαη²α)
28. ¢σѕ2α = (1 − тαη²α) / (1 + тαη²α)
29. 4ѕιη³α = 3ѕιηα − ѕιη3α
30. 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.
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    » M.S. — miss (used for female married & unmarried)
    » Miss — used before unmarried girls)
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    Y. S. D. — United States of Sanjer pur
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    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
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    P. A. S. — pakistan Administrative Service
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    Pakistan. R. S. — Pakistan Revenue Service
    P. C. S. — Provincial Civil Service
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    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.
    » DAT - Digital Audio Tape.
    » DOS - Disk Operating System.
    » GUI -Graphical
    User Interface.
    » HTTP - Hyper Text Transfer Protocol.
    » IP - Internet Protocol.
    » ISP - Internet Service Provider.
    » TCP - Transmission Control Protocol.
    » UPS - Uninterruptible Power Supply.
    » HSDPA -High Speed Downlink Packet Access.
    » EDGE - Enhanced Data Rate for Evolution.
    » GSM- [Global System for Mobile Communication]
    » VHF - Very High Frequency.
    » UHF - Ultra HighFrequency.
    » GPRS - General Packet Radio Service.
    » WAP - Wireless Application Protocol.
    » TCP - Transmission Control Protocol.
    » ARPANET - Advanced Research Project Agency Network.
    » IBM - International Business Machines.
    » HP - Hewlett Packard.
    » AM/FM - Amplitude/ Frequency