Smartstudy Stream

Grade 6, 8 and 12

Model Exam Schedule

By: AACAEB 𝑬𝑻- 𝑴𝒂𝒕𝒉𝒔 𝑵𝒆𝒕𝒘𝒐𝒓𝒌

የ12ኛ ክፍል ፈተና የሚሰጥበት ቀን ይፋ ሆነ። 💥12ኛ ክፍል ፈተና

ከሰኔ 24 እስከ ሃምሌ 17 ቀን 2018

በሌላ በኩል ፦ 🔹 የሬሜዲያል ፕሮግራም ሀገር አቀፍ ፈተና

ከግንቦት 17 - 20 ቀን 2018

🔹የቅድመ ምረቃ ትምህርት መውጫ ፈተና

ከሰኔ 2-12 ቀን 2018

🔹የድህረ ምረቃ ትምህርት መግቢያ ፈተና (NGAT)

ከሃምሌ 29 እስከ ሃምሌ 30 ቀን 2018

══════════════ 🍁@SmartstudyStream ◉ 𝐓𝐡𝐞 𝐒𝐭𝐫𝐞𝐚𝐦 𝐭𝐨 𝐒𝐦𝐚𝐫𝐭 𝐑𝐞𝐬𝐮𝐥𝐭𝐬!  

Formulas Every Grade 12 Student Should Know 💥Part -1 Geometry / Trigonometry 🌀 Pythagorean theorem: 

  a² + b² = c² 

🔹 Note: In a right triangle, square of hypotenuse equals sum of squares of legs.  🌀 Law of sines: 

  a/sin A = b/sin B = c/sin C 

🔹  Hint: Useful for any triangle to find missing sides/angles when given one side and two angles or two sides and an angle. 🌀 Law of cosines: 

  c² = a² + b² − 2ab cos C 

🔹  Tip: Like an extended Pythagorean theorem, used when you know two sides and the included angle. 🌀 Sum of angles in a triangle: 

  A + B + C = 180° 

🔹  Basic fact; angles always add up to 180°. 🌀 Area of a triangle: 

  A = (1/2)bh 

🔹  Base times height over 2. 🌀 Fundamental trigonometric identities: 

  sin² x + cos² x = 1

  1 + tan² x = sec² x

  1 + cot² x = csc² x 

🔹  Core identities for manipulating trig expressions. 🌀 Double angle formulas: 

  sin 2x = 2 sin x cos x 

  cos 2x = cos² x − sin² x

  tan 2x = (2 tan x) / (1 − tan² x) 

🔹  Useful for simplifying and solving double angle problems. 🌀 Half angle formulas: 

sin(x/2) = ±√[(1 − cos x)/2] 

  cos(x/2) = ±√[(1 + cos x)/2] 

  tan(x/2) = ±√[(1 − cos x) / (1 + cos x)] 

🔹  Use when working with half angles; sign depends on quadrant. 🌀 Sum-to-product formulas: 

sin A + sin B = 2 sin[(A+B)/2] cos[(A−B)/2] 

cos A + cos B = 2 cos[(A+B)/2] cos[(A−B)/2]   

🔹  Convert sums into products — helpful for integration or simplification. 🌀 Product-to-sum formulas: 

cos A cos B = (1/2)(cos(A−B) + cos(A+B)) 

sin A sin B = (1/2)(cos(A−B) − cos(A+B)) 

🔹  Reverse of sum-to-product, great for simplifying products. 🌀 Inverse trigonometric functions: 

arcsin x, arccos x, arctan x 

🔹  Inverse functions to find angles from ratios. => Part-2 ══════════════ 🍁@SmartstudyStream ◉ 𝐓𝐡𝐞 𝐒𝐭𝐫𝐞𝐚𝐦 𝐭𝐨 𝐒𝐦𝐚𝐫𝐭 𝐑𝐞𝐬𝐮𝐥𝐭𝐬!  

🌀Basic English Notes ══════════════ 🍁@SmartstudyStream ◉ 𝐓𝐡𝐞 𝐒𝐭𝐫𝐞𝐚𝐦 𝐭𝐨 𝐒𝐦𝐚𝐫𝐭 𝐑𝐞𝐬𝐮𝐥𝐭𝐬!  

💥💥💥ተጠናቀቀ👍👍👍👍 የተሳተፋችሁ አሁንም ድጋሚ ሁላችንም እናመሰግናለን🙏። የድምፅ ብልጫ ያገኘው የመጀመሪያው ስለሆነ የ8ተኛ ክፍል ሞዴል በተለያዩ ሁለት ክፍለ ከተሞች የተዘጋጁ ፈተናዎችን ከደቂቃዎች በኃላ እንለቅላችኋለን ። 💥👍👍👍👍

💥💥💥ተጠናቀቀ👍👍👍👍 የተሳተፋችሁ ሁላችንም እናመሰግናለን🙏። የድምፅ ብልጫ ያገኘውን የቦሌ ክፍለ ከተማ ሞዴል ፈተና ከደቂቃዎች በኃላ ይለቀቃል። 💥👍👍👍👍

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