Wyznacz wartość funkcji trygonometrycznych kąta alfa
a) a=4,b=x,c=5
b) a=6,b=8,c=x
a)
b------------policzymy z Tw. Pitagorasa
b²=c²- a² = 25-16=9
b=√9
b=3
a=4
c=5
sinα=a/c = 4/5
cosα=b/c = 3/5
tgα=a/b = 4/3
ctgα=b/a = 3/4
b)
c²=a²+b² = 36+64=100
c=√100
c=10
a=6
b=8
sinα=a/c = 6/10 = 3/5
cosα = b/c = 8/10 = 4/5
tgα=a/b = 6/8 = 3/4
ctgα=b/a=8/6=4/3
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a)
b------------policzymy z Tw. Pitagorasa
b²=c²- a² = 25-16=9
b=√9
b=3
a=4
c=5
sinα=a/c = 4/5
cosα=b/c = 3/5
tgα=a/b = 4/3
ctgα=b/a = 3/4
b)
c²=a²+b² = 36+64=100
c=√100
c=10
a=6
b=8
sinα=a/c = 6/10 = 3/5
cosα = b/c = 8/10 = 4/5
tgα=a/b = 6/8 = 3/4
ctgα=b/a=8/6=4/3