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受欢迎的三角函数 >

1.6sin(θ)=1.49

解答

1.6 sin (θ) = 1.49

解答

θ = 1.19782 \dots + 2 πn, θ = π - 1.19782 \dots + 2 πn

+1

度数

θ = 68.63051 \dots^{\circ} + 36 0^{\circ} n, θ = 111.36948 \dots^{\circ} + 36 0^{\circ} n

求解步骤

1.6 sin (θ) = 1.49

在两边乘以

100

1.6 sin (θ) = 1.49

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere are

2

digits to the right of the decimal point, therefore multiply by

100

1.6 sin (θ) \cdot 100 = 1.49 \cdot 100

整理后得

160 sin (θ) = 149

160 sin (θ) = 149

两边除以

160

160 sin (θ) = 149

两边除以

160

\frac{160 sin ( θ )}{160} = \frac{149}{160}

化简

sin (θ) = \frac{149}{160}

sin (θ) = \frac{149}{160}

使用反三角函数性质

sin (θ) = \frac{149}{160}

sin (θ) = \frac{149}{160}

的通解

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

θ = arcsin (\frac{149}{160}) + 2 πn, θ = π - arcsin (\frac{149}{160}) + 2 πn

θ = arcsin (\frac{149}{160}) + 2 πn, θ = π - arcsin (\frac{149}{160}) + 2 πn

以小数形式表示解

θ = 1.19782 \dots + 2 πn, θ = π - 1.19782 \dots + 2 πn

作图

流行的例子

sin(2.5x)=2.75cos(2.5x)

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