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2009-09-16T21:28:38+02:00
Tgα=y/x ctgα=x/y sinα=y/r cosα=x/r
.)tg α=3/2
y=3 x=2 x²+y²=r² ==>r=√13
b.)ctg α=4/5
x=4 y=5 x²+y²=r² ==>r=√41
c.)tg α=2,4 =12/5
x=5 y=12 x²+y²=r² ==>r=13
2009-09-16T22:49:53+02:00
A.)tg α=3/2
Najszybciej bez tożsamości 3²+2²=x², 9+4=x², x=√13
sinα=3/√13=3√13/13
cosα=2/√13=2√13/13
ctgα=2/3

b.)ctg α=4/5
4²+5²=x², 16+25=x², x=√41

sinα=5/√41=5√41/41
cosα=4/√41=4√41/41
tgα=5/4

c.)tg α=2,4=12/5
12²+5²=x², 144+25=x², x²=169, x=13
sinα=12/13
cosα=5/13
ctgα5/12