Civil Engineering: FE Exam Questions
and Answers
Unit: Joule (J) - Correct Answers -N*m = (kg*m^2)/(s^2)
Unit: Newton - Correct Answers -kg*m/s^2
Unit: Pascal - Correct Answers -N/m^2 = kg/(m*s^2)
Even-Odd Identities - Correct Answers -sin(-x) = - sin x
cos(-x) = cos x
tan (-x) = - tan x
csc (-x) = - csc x
sec (-x) = sec x
cot (-x) = - cot x
Half Angle Identities - Correct Answers -sin(x/2) = ±√((1 - cos(x))/2)
cos(x/2) = ±√((1 + cos(x))/2)
tan(x/2) = ±√((1 - cos(x))/(1 + cos(x))) , (1-cos(x))/sin(x) , sin(x)/(1+cos(x))
Sum to Product Formulas - Correct Answers -sin x + sin y = 2*sin(x + y)/(2) * cos(x
-y)/(2)
sin x - sin y = 2*cos(x + y)/(2) * sin (x - y)/(2)
cos x + cos y = 2*cos(x + y)/(2) * cos(x - y)/(2)
cos x - cos y = -2*sin(x + y)/(2) * sin(x - y)/(2)
Product to Sum Formulas - Correct Answers -sinx sin y = 1/2 [cos(x - y) - cos(x + y)]
cosx cos y = 1/2 [cos(x - y) + cos(x + y)]
sinx cos y = 1/2 [sin(x + y) + sin(x - y)]
cos x sin y = 1/2 [sin(x + y) - sin(x - y)]
Unit: Tesla - Correct Answers -Kg/(A*s^2)
Unit: Watt - Correct Answers -J/s = (kg*m^2)/(s^3)
What is a kip? - Correct Answers -1000 lbf (force)
What is a metric ton? - Correct Answers -1000 kg
and Answers
Unit: Joule (J) - Correct Answers -N*m = (kg*m^2)/(s^2)
Unit: Newton - Correct Answers -kg*m/s^2
Unit: Pascal - Correct Answers -N/m^2 = kg/(m*s^2)
Even-Odd Identities - Correct Answers -sin(-x) = - sin x
cos(-x) = cos x
tan (-x) = - tan x
csc (-x) = - csc x
sec (-x) = sec x
cot (-x) = - cot x
Half Angle Identities - Correct Answers -sin(x/2) = ±√((1 - cos(x))/2)
cos(x/2) = ±√((1 + cos(x))/2)
tan(x/2) = ±√((1 - cos(x))/(1 + cos(x))) , (1-cos(x))/sin(x) , sin(x)/(1+cos(x))
Sum to Product Formulas - Correct Answers -sin x + sin y = 2*sin(x + y)/(2) * cos(x
-y)/(2)
sin x - sin y = 2*cos(x + y)/(2) * sin (x - y)/(2)
cos x + cos y = 2*cos(x + y)/(2) * cos(x - y)/(2)
cos x - cos y = -2*sin(x + y)/(2) * sin(x - y)/(2)
Product to Sum Formulas - Correct Answers -sinx sin y = 1/2 [cos(x - y) - cos(x + y)]
cosx cos y = 1/2 [cos(x - y) + cos(x + y)]
sinx cos y = 1/2 [sin(x + y) + sin(x - y)]
cos x sin y = 1/2 [sin(x + y) - sin(x - y)]
Unit: Tesla - Correct Answers -Kg/(A*s^2)
Unit: Watt - Correct Answers -J/s = (kg*m^2)/(s^3)
What is a kip? - Correct Answers -1000 lbf (force)
What is a metric ton? - Correct Answers -1000 kg