Math

Question 1

Krug (formule)

Answer 1

C=2πR; A=πR”2; d=2R

Question 2

Kvadrat (f)

Answer 2

A=S”2; P=4S; d=a√2; d=2r

Question 3

Pravougaonik (f)

Answer 3

A=WL; P=2L+2W; d=√W”2+L”2

Question 4

Površina obojenog dijela (object within an object)

Answer 4

A= A1-A2 gdje je A1- veći objekat a A2- manji

Question 5

Trokut (f)

Answer 5

h=AB; c”2=a”2+b”2; A=1/2 bh; S=a+b+c/2 tj. S=P/2;

A=√S(S-a)(S-b)(S-c)

Question 6

Specijalni trouglovi (odnos stranica)

Answer 6

3,4,5
5,12,13
7,24,25
8,15,17
9,40,41
11,60,61

Question 7

Parnost f-ija

Answer 7

f(-x)=f(x) PARNA
f(-x)=-f(x) NEPARNA
f(-x)=/ f(x) niti - f (x) NEODREĐENA

Question 8

formule za sin

Answer 8

sin(2x)=2sinxcosx
sin"2(x)=1-cos"2(x)
sinx=2sin(x/2)cos(x/2)
2sin"2(x)=1-cos"2(x)
2sin"2(x/2)=1-cos(x)

sin(x/2)=+-√1-cos(x)/2
sin(-x)= - sin(x)

Question 9

formule za cos

Answer 9

cos(2x)=cos”2(x)-sin”2(x)
1+cos(x)=2cos”2(x/2)
1+cos(2x)=2cos”2(x)
cos”2(x)=1-sin”2(x)

cos(x/2)=+-√1+cos(x)/2
cos(-x)= cos(x)

Question 10

kvadratne formule (i ostalo)

Answer 10

(a-b)”2=a”2+2ab-b”2
(a+b)”2=a”2+2ab+b”2

(a-b)”3= a”3-3a”2b+3ab”2+b”3

a”3-b”3= (a-b)(a”2+ab+b”2)
a”3+b”3=(a+b)(a”2-ab+b”2)