sin(a)=0.3

解答

sin (a) = 0.3

a = 0.30469 \dots + 2 πn, a = π - 0.30469 \dots + 2 πn

度数

a = 17.45760 \dots^{\circ} + 36 0^{\circ} n, a = 162.54239 \dots^{\circ} + 36 0^{\circ} n

求解步骤

sin (a) = 0.3

使用反三角函数性质

sin (a) = 0.3

sin (a) = 0.3

的通解

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

a = arcsin (0.3) + 2 πn, a = π - arcsin (0.3) + 2 πn

a = arcsin (0.3) + 2 πn, a = π - arcsin (0.3) + 2 πn

以小数形式表示解

a = 0.30469 \dots + 2 πn, a = π - 0.30469 \dots + 2 πn

sin (x) = \frac{5}{13}, tan (x), \frac{π}{2} \leq x \leq π

sin (x) + cos^{2} (x) = \frac{5}{4}

15 sin (x) + 6 cos (x) - 3 = 0

1 + cot^{2} (x) = 8

tan (x) - 1 - 2 tan^{2} (x) = 0