sin(x)=0.72555

解答

sin (x) = 0.72555

x = 0.81183 \dots + 2 πn, x = π - 0.81183 \dots + 2 πn

度数

x = 46.51462 \dots^{\circ} + 36 0^{\circ} n, x = 133.48537 \dots^{\circ} + 36 0^{\circ} n

求解步骤

sin (x) = 0.72555

使用反三角函数性质

sin (x) = 0.72555

sin (x) = 0.72555

的通解

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

x = arcsin (0.72555) + 2 πn, x = π - arcsin (0.72555) + 2 πn

x = arcsin (0.72555) + 2 πn, x = π - arcsin (0.72555) + 2 πn

以小数形式表示解

x = 0.81183 \dots + 2 πn, x = π - 0.81183 \dots + 2 πn

15 = 10 sin (\frac{π}{20} (x + 10)) + 12

- cos (x) = \frac{2}{20}

tan^{2} (x) + 7 = - 10 sec (x), 0 < x < 2 π

tan (θ) = \frac{14}{11}

tan (3 φ - 4) = - \frac{1}{2}, 0 \leq φ \leq \frac{π}{2}