maths Flashcards
to learn formula
sin (A + B)
sin A cos B + cos A sin B
sin (A – B)
sin A cos B – cos A sin B
cos (A + B)
cos A cos B – sin A sin B
cos (A – B)
cos A cos B + sin A sin B
tan (A + B)
tan A+ tan B
1 -tan A tan B
tan (A – B)
tan A-tan B
1 +tan A tan B
cot (A + B)
cot A cot B -1
cot A +cot B
cot (A – B)
cot A cot B+ 1
cot B- cot A
sin 2A
= 2 sin A cos A =
2 tan A
1+ tan^2 A
cos 2A
cos^2 A – sin^2 A = 1 – 2 sin^2
A = 2 cos^2 A – 1
1 – tan^2 A
1+ tan^2 A
tan 2A
2 tan A
1 – tan^2 A
cos 3A
4cos^3 A – 3cos A
sin 3A
3sin A – 4sin^3A
tan 3A
3 tanA – tan^3 A
1 – 3tan ^2A
cos A + cos B
2cos (a+b)/2 sin(a-b)/2
cos A – cos B
-2sin(a+b)/2 .sin(a-b)/2
sin A + sin B
2sin(a+b)/2 cos(a-b)/2
sin A – sin B
2cos(a+b)/2.sin(a-b)/2
2sin A cos B
sin (A + B) + sin (A – B)
2cos A sin B
sin (A + B) – sin (A – B)
2cos A cos B
cos (A + B) + cos (A – B)
2sin A sin B
cos (A – B) – cos (A + B)
d sinx
cosx
d cosx
-sinx
d tanx
sec^2x
d cosec
-cosecx cotx
d secx
secx tanx
cotx
-cosec^2x
x^n
nx^n-1
n
0
f’(x)
lim h->0 (f(x+h)-f(x))/h
product rule u.v
udv+vdu
quotient rule u/v
v.du-u.dv/v^2
skew symmetric
a=-a’
symmetric
a=a’
sum of skew or symmetric
(a+a’)/2+(a-a’)/2
(ab)’
b’.a’
(ka)’
k(a)’
