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
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