AP Calculus BC Study Guide UPDATED ACTUAL Exam Questions and CORRECT Answers

AP Calculus BC Study Guide UPDATED
ACTUAL Exam Questions and CORRECT
Answers
sin² θ + cos² θ = - CORRECT ANSWER -1



1 + tan² θ = - CORRECT ANSWER - sec² θ



1 + cot² θ = - CORRECT ANSWER - csc² θ



sin(-θ) = - CORRECT ANSWER - -sin θ



cos(-θ) = - CORRECT ANSWER - cos θ



tan(-θ) = - CORRECT ANSWER - -tan θ



sin(A + B) = - CORRECT ANSWER - sinAcosB + sinBcosA



sin(A - B) = - CORRECT ANSWER - sinAcosB - sinBcosA



cos(A + B) = - CORRECT ANSWER - cosAcosB - sinAsinB



cos(A - B) = - CORRECT ANSWER - cosAcosB + sinAsinB



sin 2θ = - CORRECT ANSWER - 2sinθcosθ



cos 2θ = - CORRECT ANSWER - cos² θ - sin² θ

,= 2cos² θ - 1
= 1 - 2sin² θ


tan θ = - CORRECT ANSWER - sin θ / cos θ
= 1 / cot θ


cot θ = - CORRECT ANSWER - cos θ / sin θ
= 1 / tan θ


sec θ = - CORRECT ANSWER - 1 / cos θ



csc θ = - CORRECT ANSWER - 1 / sin θ



cos² θ = - CORRECT ANSWER - ()(1 + cos 2θ)



sin² θ = - CORRECT ANSWER - ()(1 - cos 2θ)



d/dx (x^n) = - CORRECT ANSWER - nx^(n - 1)



d/dx (fg) = - CORRECT ANSWER - fg' + gf'



d/dx (f / g) = - CORRECT ANSWER - (gf' - fg') / g^2



d/dx f(g(x)) = - CORRECT ANSWER - f'(g(x))g'(x)



d/dx (sin x) = - CORRECT ANSWER - cos x

, d/dx (cos x) = - CORRECT ANSWER - -sin x



d/dx (tan x) = - CORRECT ANSWER - sec² x



d/dx (cot x) = - CORRECT ANSWER - -csc² x



d/dx (sec x) = - CORRECT ANSWER - secxtanx



d/dx (csc x) = - CORRECT ANSWER - -cscxcotx



d/dx (e^x) = - CORRECT ANSWER - e^x



d/dx (a^x) = - CORRECT ANSWER - a^x * ln a



d/dx (ln x) = - CORRECT ANSWER -1/x



d/dx (Arcsin x) = - CORRECT ANSWER - 1 / √(1 - x²)



d/dx (Arctan x) = - CORRECT ANSWER - 1 / (1 + x²)



d/dx (Arcsec x) = - CORRECT ANSWER - 1 / (|x| * √(x² - 1))



d/dx (Arccos x) = - CORRECT ANSWER - -1 / √(1 - x²)



d/dx (Arccot x) = - CORRECT ANSWER - 1 / (1 + x²)



d/dx (Arccsc x) = - CORRECT ANSWER - -1 / (|x| * √(x² - 1))