Răspuns :
1/2*√3/2+1/√3*√3+√2/2*√2/2-√3/2*1/2=√3/4+1+2/4-√3/4=1+1/2=3/2
sin30° × cos30° - sin60° × cos60° = 0
deoarece sin30° = cos60° si cos30° = sin60°,
unghiurile de 30° si 60° fiind complementare.
Ramanem cu:
tg60° × ctg60° + sin45° × cos45° = ?
Stim ca:
tg60° = √3
ctg60° = √3 / 3
sin45° = cos45° = √2 / 2
⇒ tg60° × ctg60° + sin45° × cos45° =
= √3 × (√3 / 3) + (√2 / 2) × (√2 / 2) = (3 / 3) + (2 / 4) = 1+ 1/2 = 3/2