Question

cos=3/7.Найдите sin и tg cos v=5/8.Найдите sin v и tg v

Answer 1

Ответ:

Объяснение:

sin^2 (a) = 1 - cos^2 (a)

sin (a) = корень(1 - cos^2 (a)) = корень(1 - (3/7)^2) = корень(1 - 9/49) = корень(40/49) = корень(40) / 7

tan (a) = sin(a) / cos(a) = (корень(40) / 7) / (3/7) = корень(40) / 3

Answer 2

Using trigonometric identities, we can find:

sin = √(1 - cos²) = √(1 - (3/7)²) ≈ 0.756

And:

tg v = √(1 - cos²) / cos = sin / cos = (3/7) / √(1 - (3/7)²) ≈ 0.533

To find sin v, we can use the identity:

sin² v + cos² v = 1

Rearranging and substituting the value of cos v, we get:

sin² v + (5/8)² = 1

sin² v = 1 - (5/8)²

sin v = √(1 - (5/8)²) ≈ 0.661

Therefore, sin v ≈ 0.661 and tg v ≈ 0.533.