Question

Calculați: sin 30° + cos 60° supra cos 30° + tg 30°

Answer 1

Răspuns:

Explicație pas cu pas:

sin 30° + cos 60° supra cos 30° + tg 30° =

1/2  +  (1/2) / (√3/2) + √3/3 =

1/2 + 1/√3 + √3/3 =

1/2 + √3/3 + √3/3 =

1/2 + 2√3/3 =

(3 + 4√3) / 6

Answer 2

sin 30° + cos 60°/cos 30° + tg 30° =

= 1/2 + (1/2)/(√3/2) + √3/3

= 1/2 + 1/2·2/√3 + √3/3

= 1/2 + 1/√3 + √3/3

= 1/2 + √3/3 + √3/3

= (3 + 2√3 + 2√3)/6

= (3 + 4√3)/6