Question

Oblicz wartosc liczbową wyrażenia:
1-(ctg60⁰-sin30⁰)²=

Answer 1

Oblicz wartosc liczbową wyrażenia:
1-(ctg60⁰-sin30⁰)²=
= 1 - (1/3*√3 - 1/2)² =
= 1 - ( 1/9*3 - 1/3*√3 + 1/4) =
= 1 - ( 1/3 - 1/3*√3 + 1/4) =
= 1 - (4/12 - 4/12*√3 + 3/12) =
= 1 - ( 7/12 - 4/12*√3) =
= 1 - 7/12 + 4/12*√3 =
= 12/12 - 7/12 + 4/12*√3 =
= 5/12 + 4/12*√3
= (1/12) ( 5 + 4√3)