sin(o)= 3/5

解答

sin (o) = \frac{3}{5}

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

度数

o = 36.86989 \dots^{\circ} + 36 0^{\circ} n, o = 143.13010 \dots^{\circ} + 36 0^{\circ} n

求解步骤

sin (o) = \frac{3}{5}

使用反三角函数性质

sin (o) = \frac{3}{5}

sin (o) = \frac{3}{5}

的通解

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

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

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

以小数形式表示解

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

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