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受欢迎的三角函数 >

31.91cos(x)=20.48

解答

31.91 cos (x) = 20.48

解答

x = 0.87394 \dots + 2 πn, x = 2 π - 0.87394 \dots + 2 πn

+1

度数

x = 50.07344 \dots^{\circ} + 36 0^{\circ} n, x = 309.92655 \dots^{\circ} + 36 0^{\circ} n

求解步骤

31.91 cos (x) = 20.48

在两边乘以

100

31.91 cos (x) = 20.48

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

31.91 cos (x) \cdot 100 = 20.48 \cdot 100

整理后得

3191 cos (x) = 2048

3191 cos (x) = 2048

两边除以

3191

3191 cos (x) = 2048

两边除以

3191

\frac{3191 cos ( x )}{3191} = \frac{2048}{3191}

化简

cos (x) = \frac{2048}{3191}

cos (x) = \frac{2048}{3191}

使用反三角函数性质

cos (x) = \frac{2048}{3191}

cos (x) = \frac{2048}{3191}

的通解

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

x = arccos (\frac{2048}{3191}) + 2 πn, x = 2 π - arccos (\frac{2048}{3191}) + 2 πn

x = arccos (\frac{2048}{3191}) + 2 πn, x = 2 π - arccos (\frac{2048}{3191}) + 2 πn

以小数形式表示解

x = 0.87394 \dots + 2 πn, x = 2 π - 0.87394 \dots + 2 πn

作图

流行的例子

0=cos(20t)-cos(20.02t)

0 = cos (20 t) - cos (20.02 t)

2tan(2x-10)=3.4641

2 tan (2 x - 10) = 3.4641

12cos(pi/3 x)+8=0

12 cos (\frac{π}{3} x) + 8 = 0

(sin(45))/(497.01)=(sin(x))/(450)

\frac{sin ( 4 5 ^{\circ} )}{497.01} = \frac{sin ( x )}{450}

(35)/(sin(A))=(60)/(sin(25))

\frac{35}{sin ( A )} = \frac{60}{sin ( 2 5 ^{\circ} )}