Дано: tga=13/84. Найдите sina, сosa

Question

Дано: tga=13/84. Найдите sina, сosa

Answer 1

Tg²α+1=1/cos²α
cos²α=1/(tg²α+1)
cos²α=1/(169/7056+1)
cos²α=1/(7225/7056)
cos²α=7056/7225
cosα=84/85

tgα=sinα/cosα
sinα=tgα*cosα
sinα=13/84*84/85
sinα=13/85