Question

Stiind ca sin x = 4/5 aflati cos x tg x sin 2 x

Answer 1

Răspuns:

sin²x+cos²x=1

(4/5)²+cos²x=1

16/25+cos²x=1

cos²x=16/25-1

cos²x=9/25

cos x=3/5

tg x=sin x/cos x

tg x=(4/5)/(3/5)

tg x=4/5×5/3

tg x=4/3

sin 2x=2×sin x ×cos x

sin 2x=2 × 4/5 × 3/5

sin 2x=24/25