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受欢迎的三角函数 >

5sin(1.75x)=1.4

解答

5 sin (1.75 x) = 1.4

解答

x = \frac{0.28379 \dots}{1.75} + \frac{2 πn}{1.75}, x = \frac{π}{1.75} - \frac{0.28379 \dots}{1.75} + \frac{2 πn}{1.75}

+1

度数

x = 9.29154 \dots^{\circ} + 205.71428 \dots^{\circ} n, x = 93.56559 \dots^{\circ} + 205.71428 \dots^{\circ} n

求解步骤

5 sin (1.75 x) = 1.4

两边除以

5

5 sin (1.75 x) = 1.4

两边除以

5

\frac{5 sin ( 1.75 x )}{5} = \frac{1.4}{5}

化简

sin (1.75 x) = 0.28

sin (1.75 x) = 0.28

使用反三角函数性质

sin (1.75 x) = 0.28

sin (1.75 x) = 0.28

的通解

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

1.75 x = arcsin (0.28) + 2 πn, 1.75 x = π - arcsin (0.28) + 2 πn

1.75 x = arcsin (0.28) + 2 πn, 1.75 x = π - arcsin (0.28) + 2 πn

解

1.75 x = arcsin (0.28) + 2 πn : x = \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

1.75 x = arcsin (0.28) + 2 πn

两边除以

1.75

1.75 x = arcsin (0.28) + 2 πn

两边除以

1.75

\frac{1.75 x}{1.75} = \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

化简

x = \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

x = \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

解

1.75 x = π - arcsin (0.28) + 2 πn : x = \frac{π}{1.75} - \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

1.75 x = π - arcsin (0.28) + 2 πn

两边除以

1.75

1.75 x = π - arcsin (0.28) + 2 πn

两边除以

1.75

\frac{1.75 x}{1.75} = \frac{π}{1.75} - \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

化简

x = \frac{π}{1.75} - \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

x = \frac{π}{1.75} - \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

x = \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}, x = \frac{π}{1.75} - \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

以小数形式表示解

x = \frac{0.28379 \dots}{1.75} + \frac{2 πn}{1.75}, x = \frac{π}{1.75} - \frac{0.28379 \dots}{1.75} + \frac{2 πn}{1.75}

作图

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