sin(α)=-3/5

解答

sin (α) = - \frac{3}{5}

α = - 0.64350 \dots + 2 πn, α = π + 0.64350 \dots + 2 πn

度数

α = - 36.86989 \dots^{\circ} + 36 0^{\circ} n, α = 216.86989 \dots^{\circ} + 36 0^{\circ} n

求解步骤

sin (α) = - \frac{3}{5}

使用反三角函数性质

sin (α) = - \frac{3}{5}

sin (α) = - \frac{3}{5}

的通解

sin (x) = - a \Rightarrow x = arcsin (- a) + 2 πn, x = π + arcsin (a) + 2 πn

α = arcsin (- \frac{3}{5}) + 2 πn, α = π + arcsin (\frac{3}{5}) + 2 πn

α = arcsin (- \frac{3}{5}) + 2 πn, α = π + arcsin (\frac{3}{5}) + 2 πn

以小数形式表示解

α = - 0.64350 \dots + 2 πn, α = π + 0.64350 \dots + 2 πn

so l v e f or x, y = \frac{1}{π} arctan (\frac{x}{s}) + \frac{1}{2}

8 sin (2 x) = 16 cos (x)

3 arccos (x) = π

3 sin (2 x) - 2 sin (2 x) = 0

2 cos^{2} (a) = 1 + cos (12 0^{\circ})