Formulario matemático 1

MATHEMATICS OFFICIAL FORMULA LIST CCM-HIGHSCHOOL
Algebra

Trigonometry

Exponent and radical laws
1. x n x m  x nm

1. cot A 

xn
 x n m ; x  0
m
x

2.

1
tan A
1
2. sec A 
cos A
3. csc A 

3. x n

m

 x nm

n

4. x m  m x n 
5. x n 

 x ;
m

n

4. tan A 

1
;x  0
xn

5. cot A n

x
xn
6.    n ; y  0
 y
y

7.

n

1
senA

senA
cos A

cos A
senA

6. sen2A+cos2A=1
7. 1+tan2A=sec2A

xy  n x n y ; x  0; y  0;

8.1+cot2A=csc2A
8.

n

x

y

n
n

x
; x  0; y  0;
y

9. sen A  B   senA cos B  cos AsenB
10. cos  A  B   cos A cos B  senBsenA

Factoring

11.tan A  B  

1. ab+ac=a(b+c)
2. ax+ay+bx+by=(a+b)(x+y)
3. x2-y2=(x+y)(x-y)
4. x3+y3=(x+y)(x2-xy+y2)
5. x3-y3=(x-y)(x2+xy+y2)
6. x2+2xy+y2=(x+y)2
7.x3+3x2y+3xy2+y3=(x+y)3

12. sen2A=2senAcosA
13. cos2A=cos2A-sen2A

1  cos 2 A
2
1  cos 2 A
15. cos2 A 
2
14. sen 2 A 

Solution of the quadratic equation

ax 2  bx  c  0x

 b  b 2  4ac
2a

Analytic Geometry

Geometry
1. Circumference P  2r
2. Rectangle P=2l+2w
3. Cone A  r 2  r r 2  h 2
4. Sphere
5. Box

A  4r 2A=2(hl+lw+hw)

6. Cilinder A  2r 2  2rh

tan A  tan B
1  tan A tan B

A  r 2
A=lw

1. Straight line
y = mx + b
2. H Parabola
(y-k)2=4p(x-h)
3. V Parabola(x-h)2= 4p(y-k)
2
4. Circle
(x-h) +(y-k)2= r2
5. H Ellipse

( x  h) 2 ( y  k ) 2

1
a2
b2

6. V Ellipse

( x  h) 2 ( y  k ) 2

1
b2
a2

V=lwh7. H Hiperbola

( x  h) 2 ( y  k ) 2

1
a2
b2

V  r 2 h

8. V Hiperbola

( y  k ) 2 ( x  h) 2

1
a2
b2

1
V  r 2h
3
4
V  r 3
3