jeśli alfa jest katem ostrym i cosalfa = 2/3 to oblicz tgalfa i sinalfa
cosα=2/3
sin²α+cos²α=1
sin²α +(2/3)²=1
sin²α-4/9 =1
sin²α=1-4/9
sin²α=5/9
sinα=√(5/9)=√5/3
sinα/cosα=tgα
√5/3 /(⅔)=tgα
tgα=√5/3 · 3/2 =√5/2
ctgα =2/√5=(2√5)/5
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cosα=2/3
sin²α+cos²α=1
sin²α +(2/3)²=1
sin²α-4/9 =1
sin²α=1-4/9
sin²α=5/9
sinα=√(5/9)=√5/3
sinα/cosα=tgα
√5/3 /(⅔)=tgα
tgα=√5/3 · 3/2 =√5/2
ctgα =2/√5=(2√5)/5