sin(x)= 1/(1.33)

解答

sin (x) = \frac{1}{1.33}

x = 0.85090 \dots + 2 πn, x = π - 0.85090 \dots + 2 πn

度数

x = 48.75346 \dots^{\circ} + 36 0^{\circ} n, x = 131.24653 \dots^{\circ} + 36 0^{\circ} n

求解步骤

sin (x) = \frac{1}{1.33}

使用反三角函数性质

sin (x) = \frac{1}{1.33}

sin (x) = \frac{1}{1.33}

的通解

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

x = arcsin (\frac{1}{1.33}) + 2 πn, x = π - arcsin (\frac{1}{1.33}) + 2 πn

x = arcsin (\frac{1}{1.33}) + 2 πn, x = π - arcsin (\frac{1}{1.33}) + 2 πn

以小数形式表示解

x = 0.85090 \dots + 2 πn, x = π - 0.85090 \dots + 2 πn

- 3 = cos (0 + C)

cos (θ) + 3 sin (\frac{θ}{2}) - 2 = 0

2 sec (θ) = 6

sin (2 x + 20) - 1 = \frac{- 1}{2}

so l v e f or x, sin (x + \frac{π}{2}) - cos^{2} (x) = 0