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受欢迎的三角函数 >

3.25=(9.8)sin(θ)

解答

3.25 = (9.8) sin (θ)

解答

θ = 0.33803 \dots + 2 πn, θ = π - 0.33803 \dots + 2 πn

+1

度数

θ = 19.36790 \dots^{\circ} + 36 0^{\circ} n, θ = 160.63209 \dots^{\circ} + 36 0^{\circ} n

求解步骤

3.25 = (9.8) sin (θ)

交换两边

9.8 sin (θ) = 3.25

在两边乘以

100

9.8 sin (θ) = 3.25

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

9.8 sin (θ) \cdot 100 = 3.25 \cdot 100

整理后得

980 sin (θ) = 325

980 sin (θ) = 325

两边除以

980

980 sin (θ) = 325

两边除以

980

\frac{980 sin ( θ )}{980} = \frac{325}{980}

化简

sin (θ) = \frac{65}{196}

sin (θ) = \frac{65}{196}

使用反三角函数性质

sin (θ) = \frac{65}{196}

sin (θ) = \frac{65}{196}

的通解

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

θ = arcsin (\frac{65}{196}) + 2 πn, θ = π - arcsin (\frac{65}{196}) + 2 πn

θ = arcsin (\frac{65}{196}) + 2 πn, θ = π - arcsin (\frac{65}{196}) + 2 πn

以小数形式表示解

θ = 0.33803 \dots + 2 πn, θ = π - 0.33803 \dots + 2 πn

作图

流行的例子

sin (θ) = - 3

sin(3x-pi/3)= 1/(sqrt(2))

sin (3 x - \frac{π}{3}) = \frac{1}{2}

cos(x)(cos(x)+1)=0

cos (x) (cos (x) + 1) = 0

3 = 6 sin (θ)

sin (a) = \frac{1}{4}