Răspuns:
Explicație pas cu pas:
3.
sin45° =√2/2 ; cos45° = √2/2
√2/2 + √2/2 = 2*√2/2= √2
____________
sin60° = √3/2; tg60° = √3
√3/2 * √3 = 3/2
____________
cos30° = √3/2; ctg30° = √3
√3/2 * √3 = 3/2
____________
sin30° = 1/2; cos60° = 1/2
(1/2) / (1/2) = 1
_____________
cos30° = √3/2; sin60° = √3/2
(√3/2) / (√3/2) = 1
_________________________________
4.
sin30° = 1/2; cos30° = √3/2; tg30° = 1/√3
sin30°/cos30° = (1/2)/(√3/2) = 1/√3 = tg30°
______________
sin45° =√2/2 ; cos45° = √2/2; tg45° = 1
sin45°/cos45° = (√2/2)/(√2/2) = 1 = tg45°
______________
ctg60° = 1/√3; cos60° = 1/2; sin60° = √3/2
cos60° /sin60° = (1/2)/(√3/2) = 1/√3 = ctg60°
______________
ctg30° = √3; cos30° = √3/2; sin30° = 1/2
cos30° /sin30° = (√3/2)/(1/2) = √3 = ctg30°
______________
tg30° = 1/√3; ctg30° = √3
1/ ctg30° = 1/√3 = tg30°
_________________________________
