Question

. Calculaţi:
a) (sin 60° + tg 30°) • ctg 30°;
b) (ctg 30° + tg 60°): sin 60°,
c) (sin 45° + cos 45°)² • cos 60°;
d) (ctg 60° - cos 30°)³: sin 60°.​

Answer 1

Răspuns:

Explicație pas cu pas:

(sin 60° + tg 30°) • ctg 30° = (√3/2 + √3/3)√3 = (5√3/2)√3 = 15/2 = 7,5

(ctg 30° + tg 60°): sin 60° = (√3 + √3) : √3/2 = (2√3) : (√3/2) = 1

(sin 45° + cos 45°)² • cos 60° = (√2/2 + √2/2)1/2 = √2/2

(ctg 60° - cos 30°)³: sin 60° = (√3 - √3/2) : √3/2 = (√3/2) : (√3/2) = 1