Question

Oblicz sin α, tg α, ctg α jeśli cos α = 3/5

Answer 1

Oblicz sin α, tg α, ctg α jeśli cos α = 3/5

sin²α+cos²α=1

sin²α+(3/5)²=1

sin²α=1-9/25

sin²α=16/25

sinα=4/5  v sinα=-4/5

 

tgα=sinα/cosα

tgα=4/5:3/5=4/5*5/3=4/3   v tgα=-4/3

 

ctgα=cosα/sinα  lub inny wzór ctgα=1/tgα

ctgα=3/4  v ctgα=-3/4