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受欢迎的三角函数 >

cos(x)=(11)/(sqrt(17*38))

解答

cos (x) = \frac{11}{17 \cdot 38}

解答

x = 1.12321 \dots + 2 πn, x = 2 π - 1.12321 \dots + 2 πn

+1

弧度

x = 1.12321 \dots + 6.28318 \dots n, x = 5.15997 \dots + 6.28318 \dots n

求解步骤

cos (x) = \frac{11}{17 \cdot 38}

化简

\frac{11}{17 \cdot 38} : \frac{11 646}{646}

\frac{11}{17 \cdot 38}

数字相乘:

17 \cdot 38 = 646

= \frac{11}{646}

\frac{11}{646}

有理化:

\frac{11 646}{646}

\frac{11}{646}

乘以共轭根式

\frac{646}{646}

= \frac{11 646}{646 646}

646646 = 646

646646

使用根式运算法则:

a a = a

646646 = 646

= 646

= \frac{11 646}{646}

= \frac{11 646}{646}

cos (x) = \frac{11 646}{646}

使用反三角函数性质

cos (x) = \frac{11 646}{646}

cos (x) = \frac{11 646}{646}

的通解

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

x = arccos (\frac{11 646}{646}) + 2 πn, x = 2 π - arccos (\frac{11 646}{646}) + 2 πn

x = arccos (\frac{11 646}{646}) + 2 πn, x = 2 π - arccos (\frac{11 646}{646}) + 2 πn

以小数形式表示解

x = 1.12321 \dots + 2 πn, x = 2 π - 1.12321 \dots + 2 πn

作图

流行的例子

(sin(90)}{5.8}=\frac{sin(x))/5

\frac{sin ( 9 0 ^{\circ} )}{5.8} = \frac{sin ( x )}{5}

6cos^2(x)-sin(x)-5=0,0<= x<= 2pi

6 cos^{2} (x) - sin (x) - 5 = 0, 0 \leq x \leq 2 π

sin(4x)=sin(3x)

sin (4 x) = sin (3 x)

4 cos (x) + 3 = 5

8/(sin(38))= 6/(sin(a))

\frac{8}{sin ( 3 8 ^{\circ} )} = \frac{6}{sin ( a )}