C3 and C4 Identities

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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	Created by Alex Brownlie about 7 years ago