ADVANCED ENGINEERING MATHEMATICS
UPDATED ACTUAL QUESTIONS AND
CORRECT ANSWERS COMPLETE STUDY
GUIDE FULL SOLUTION
●● Arithmetic Progression
Answer: an = a1 + (n −1)d
●● Geometric Progression
Answer: an = a1 rn−1
●● Harmonic Progression
Answer: Reciprocal of arithmetic progression
●● Sine Law
Answer: sin 𝑎/sin 𝐴 = sin 𝑏/sin 𝐵 = sin 𝐶/sin 𝑐
●● Cosine Law for sides
Answer: cos 𝑎 = cos 𝑏cos 𝑐 + sin 𝑏sin 𝑐cos 𝐴
●● Cosine Law for angles
,Answer: cos 𝐴 = −cos 𝐵cos 𝐶 + sin 𝐵sin 𝐶cos 𝑎
●● Sum of Roots
Answer: x1 + x2 = −B
●● Product of Roots
Answer: x1 ∙ x2 = + C
●● Double Angle Identities
Answer: sin 2A = 2 sin A cos A
●● Central Angle, β
Answer: β = 360°
●● Area of Triangle
Answer: A = 1/2 bh
●● Area of Rectangle
Answer: A = bh
●● Area of Square
Answer: A = s2
, ●● Area of Trapezoid
Answer: A = 1/2 (a + b)h
●● Area of Parallelogram
Answer: A = bh
●● Area of Rhombus
Answer: A = 1/2 d1d2
●● Area of Circle
Answer: A = πr2
●● Volume of Sphere
Answer: V = 4/3 πR3
●● Volume of Cylinder
Answer: V = πR2h
●● Volume of Cone
Answer: V = 1/3 πR2h
UPDATED ACTUAL QUESTIONS AND
CORRECT ANSWERS COMPLETE STUDY
GUIDE FULL SOLUTION
●● Arithmetic Progression
Answer: an = a1 + (n −1)d
●● Geometric Progression
Answer: an = a1 rn−1
●● Harmonic Progression
Answer: Reciprocal of arithmetic progression
●● Sine Law
Answer: sin 𝑎/sin 𝐴 = sin 𝑏/sin 𝐵 = sin 𝐶/sin 𝑐
●● Cosine Law for sides
Answer: cos 𝑎 = cos 𝑏cos 𝑐 + sin 𝑏sin 𝑐cos 𝐴
●● Cosine Law for angles
,Answer: cos 𝐴 = −cos 𝐵cos 𝐶 + sin 𝐵sin 𝐶cos 𝑎
●● Sum of Roots
Answer: x1 + x2 = −B
●● Product of Roots
Answer: x1 ∙ x2 = + C
●● Double Angle Identities
Answer: sin 2A = 2 sin A cos A
●● Central Angle, β
Answer: β = 360°
●● Area of Triangle
Answer: A = 1/2 bh
●● Area of Rectangle
Answer: A = bh
●● Area of Square
Answer: A = s2
, ●● Area of Trapezoid
Answer: A = 1/2 (a + b)h
●● Area of Parallelogram
Answer: A = bh
●● Area of Rhombus
Answer: A = 1/2 d1d2
●● Area of Circle
Answer: A = πr2
●● Volume of Sphere
Answer: V = 4/3 πR3
●● Volume of Cylinder
Answer: V = πR2h
●● Volume of Cone
Answer: V = 1/3 πR2h
