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受欢迎的三角函数 >

-25=(29cos(x))3.7-4.93.7^2

解答

- 25 = (29 cos (x)) \cdot 3.7 - 4.9 \cdot 3. 7^{2}

解答

x = 1.16779 \dots + 2 πn, x = 2 π - 1.16779 \dots + 2 πn

+1

度数

x = 66.90973 \dots^{\circ} + 36 0^{\circ} n, x = 293.09026 \dots^{\circ} + 36 0^{\circ} n

求解步骤

- 25 = (29 cos (x)) \cdot 3.7 - 4.9 \cdot 3. 7^{2}

交换两边

29 cos (x) \cdot 3.7 - 4.9 \cdot 3. 7^{2} = - 25

数字相乘:

29 \cdot 3.7 = 107.3

107.3 cos (x) - 3. 7^{2} \cdot 4.9 = - 25

4.9 \cdot 3. 7^{2} = 67.081

4.9 \cdot 3. 7^{2}

3. 7^{2} = 13.69

= 4.9 \cdot 13.69

数字相乘:

4.9 \cdot 13.69 = 67.081

= 67.081

107.3 cos (x) - 67.081 = - 25

在两边乘以

1000

107.3 cos (x) - 67.081 = - 25

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

3

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

1000

107.3 cos (x) \cdot 1000 - 67.081 \cdot 1000 = - 25 \cdot 1000

整理后得

107300 cos (x) - 67081 = - 25000

107300 cos (x) - 67081 = - 25000

将

67081

到右边

107300 cos (x) - 67081 = - 25000

两边加上

67081

107300 cos (x) - 67081 + 67081 = - 25000 + 67081

化简

107300 cos (x) = 42081

107300 cos (x) = 42081

两边除以

107300

107300 cos (x) = 42081

两边除以

107300

\frac{107300 cos ( x )}{107300} = \frac{42081}{107300}

化简

cos (x) = \frac{42081}{107300}

cos (x) = \frac{42081}{107300}

使用反三角函数性质

cos (x) = \frac{42081}{107300}

cos (x) = \frac{42081}{107300}

的通解

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (\frac{42081}{107300}) + 2 πn, x = 2 π - arccos (\frac{42081}{107300}) + 2 πn

x = arccos (\frac{42081}{107300}) + 2 πn, x = 2 π - arccos (\frac{42081}{107300}) + 2 πn

以小数形式表示解

x = 1.16779 \dots + 2 πn, x = 2 π - 1.16779 \dots + 2 πn

作图

流行的例子

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