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Sine Rule: a sin A = b sin B c sin C Use, when given � 2 sides and 1 non included angle � 2 angles and 1 side a b A http://www.one-school.net/notes.html = a B A 180 – (A+B) 10 Solution of Triangle Cosine Rule: a 2 = b 2 + c 2 – 2bc cosA b 2 = a 2 + c 2 – 2ac cosB c 2 = a 2 + b 2 – 2ab cosC b cos A = 2 14 2 + c − a 2bc Use, when given � 2 sides and 1 included angle � 3 sides a b A a b 2 c Area of triangle: C ONE-SCHOOL.NET a b 1 A = absin C 2 C is the included angle of sides a and b.
Case of AMBIGUITY C B′ B Case 1: When a< bsin A CB is too short to reach the side opposite to C. Outcome: No solution Case 3: When a > bsin A but a < b. CB cuts the side opposite to C at 2 points Outcome: 2 solution Useful information: b a c θ 180 - θ A http://www.one-school.net/notes.html θ 15 ONE-SCHOOL.NET If ∠C, the length AC and length AB remain unchanged, the point B can also be at point B′ where ∠ABC = acute and ∠A B′ C = obtuse. If ∠ABC = θ, thus ∠AB′C = 180 – θ . Remember : sinθ = sin (180° – θ) Case 2: When a = bsin A CB just touch the side opposite to C Outcome: 1 solution Case 4: When a > bsin A and a > b. CB cuts the side opposite to C at 1 points Outcome: 1 solution In a right angled triangle, you may use the following to solve the problems. 2 2 (i) Phythagoras Theorem: c= a + b (ii) Trigonometry ratio: sin θ = , cos θ = , tanθ = b a b c c a (iii) Area = ½ (base)(height)
Page 1 and 2: ONE-SCHOOL.NET Add Maths Formulae L
Page 3 and 4: Fundamental if Indices Zero Index,
Page 5: Area of triangle: Area of Triangle
Page 8 and 9: The variance is a measure of the me
Page 10 and 11: Differentiation of a Function III n
Page 12 and 13: Gradients of tangents, Equation of
Page 16: http://www.one-school.net/notes.htm

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