C3 and C4 Identities

Description

A level Maths Flashcards on C3 and C4 Identities, created by Alex Brownlie on 05/05/2017.
Alex Brownlie
Flashcards by Alex Brownlie, updated more than 1 year ago
Alex Brownlie
Created by Alex Brownlie over 7 years ago
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Resource summary

Question Answer
What is the differential of sin(x)? cos(x)
What is the differential of cos(x)? -sin(x)
What is the differential of tan(x)? sec^2(x)
What is the differential of e^f(x)? f'x e^f(x)
What is the integral of cos(ax)? 1/a sin(ax) + c
What is the integral of sina(ax) dx? -1/a cos(ax) + c
What is the integral of f'x cos[f(x)] dx? sin[f(x)] + c
What is the integral of f'x sin[f(x)] dx? -cos[f(x)] + c
What is sec(x)? 1 / cos(x)
What is cosec(x)? 1 / sin(x)
What is cot(x)? 1 / tan(x) = cos(x) / sin(x)
sin^2 (x) + cos^2 (x) = ? 1
sec^2 (x) = ? tan^2 (x) + 1
cosec^2 (x) = ? cot^2 (x) + 1
sin(A+B) = ? sinAcosB + cosAsinB
sin(A-B) = ? sinAcosB - cosAsinB
cos(A+B) = ? cosAcosB - sinAsinB
cos(A-B) = ? cosAcosB + sinAsinB
tan(A+B) = ? (tanA + tanB) / (1 - tanAtanB)
tan(A-B) = ? (tanA - tanB) / (1 + tanAtanB)
sin(2A) = ? 2sinAcosA
cos(2A) = ? cos^2 (A) - sin^2 (A) 2cos^2 (A) - 1 1 - 2sin^2 (A)
tan(2A) = ? 2tan(A) / (1 - tan^2 (A) )
Rcos(x+a) = ? R [cos(x)cos(a) - sin(x)sin(a)]
Rcos(x-a) = ? R [cos(x)cos(a) + sin(x)sin(a)]
Rsin(x+a) = ? R [sin(x)cos(a) + cos(x)sin(a)]
Rsin(x-a) = ? R [sin(x)cos(a) - cos(x)sin(a)]
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