sin(x)=-0.1

解答

sin (x) = - 0.1

x = - 0.10016 \dots + 2 πn, x = π + 0.10016 \dots + 2 πn

度数

x = - 5.73917 \dots^{\circ} + 36 0^{\circ} n, x = 185.73917 \dots^{\circ} + 36 0^{\circ} n

求解步骤

sin (x) = - 0.1

使用反三角函数性质

sin (x) = - 0.1

sin (x) = - 0.1

的通解

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

x = arcsin (- 0.1) + 2 πn, x = π + arcsin (0.1) + 2 πn

x = arcsin (- 0.1) + 2 πn, x = π + arcsin (0.1) + 2 πn

以小数形式表示解

x = - 0.10016 \dots + 2 πn, x = π + 0.10016 \dots + 2 πn

189.4 = 100 tan^{2} (4 5^{\circ} + \frac{θ}{2})

cos (2 x) = 0.98

8 sin^{2} (x) + 2 sin (x) - 3 = 0

2 (arcsin (x))^{2} + (2 - π) arcsin (x) - π = 0

cos^{2} (x) + 3 sin (- x) - 2 = 0