sin(x)=(1.2)/(1.6)

解答

sin (x) = \frac{1.2}{1.6}

x = 0.84806 \dots + 2 πn, x = π - 0.84806 \dots + 2 πn

度数

x = 48.59037 \dots^{\circ} + 36 0^{\circ} n, x = 131.40962 \dots^{\circ} + 36 0^{\circ} n

求解步骤

sin (x) = \frac{1.2}{1.6}

使用反三角函数性质

sin (x) = \frac{1.2}{1.6}

sin (x) = \frac{1.2}{1.6}

的通解

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

x = arcsin (\frac{1.2}{1.6}) + 2 πn, x = π - arcsin (\frac{1.2}{1.6}) + 2 πn

x = arcsin (\frac{1.2}{1.6}) + 2 πn, x = π - arcsin (\frac{1.2}{1.6}) + 2 πn

以小数形式表示解

x = 0.84806 \dots + 2 πn, x = π - 0.84806 \dots + 2 πn

sin (x) = \frac{14.9}{19.9725}

sin (θ) = \frac{1}{2}, 0 \leq θ \leq 4 π

3 - cosh (x) = 0

1 (sin (x) - 0.3 π) + 2 = 0

8 - 32 cos^{2} (t) = 0