Trigonometric Identities and Differentials Flashcards
1
Q
d(cosx)/dx
A
-sinx
2
Q
d(sinx)/dx
A
cosx
3
Q
d(tanx)/dx
A
sec2x
4
Q
d(secx)/dx
A
sec(x)tan(x)
5
Q
d(cotx)/dx
A
-cosec2x
6
Q
d(cosecx)/dx
A
-cosec(x)cot(x)
7
Q
Give an identity involving tan2x and sec2x
A
tan2x + 1 = sec2x
8
Q
Give an identity involving cot2x and cosec2x
A
cot2x + 1 = cosec2x
9
Q
Give the double-angle formulae for cos2A and sin2A
A
cos2A = cos2A - sin2A
= 2cos2A - 1
= 1 - 2sin2A
sin2A = 2sin(A)cos(A)
10
Q
A
