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受欢迎的三角函数 >

cos(x)=(4(1/2)-1)/3

解答

cos (x) = \frac{4 ( \frac{1}{2} ) - 1}{3}

解答

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

+1

弧度

x = 1.23095 \dots + 6.28318 \dots n, x = 5.05222 \dots + 6.28318 \dots n

求解步骤

cos (x) = \frac{4 ( \frac{1}{2} ) - 1}{3}

化简

\frac{4 \cdot \frac{1}{2} - 1}{3} : \frac{1}{3}

\frac{4 \cdot \frac{1}{2} - 1}{3}

4 \cdot \frac{1}{2} = 2

4 \cdot \frac{1}{2}

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 4}{2}

数字相乘:

1 \cdot 4 = 4

= \frac{4}{2}

数字相除:

\frac{4}{2} = 2

= 2

= \frac{2 - 1}{3}

数字相减:

2 - 1 = 1

= \frac{1}{3}

使用反三角函数性质

cos (x) = \frac{1}{3}

cos (x) = \frac{1}{3}

的通解

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

x = arccos (\frac{1}{3}) + 2 πn, x = 2 π - arccos (\frac{1}{3}) + 2 πn

x = arccos (\frac{1}{3}) + 2 πn, x = 2 π - arccos (\frac{1}{3}) + 2 πn

以小数形式表示解

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

作图

流行的例子

sin(x)= pi/4+(0pi)/2

sin (x) = \frac{π}{4} + \frac{0 π}{2}

cos(2x)-sin(x)-1=0

cos (2 x) - sin (x) - 1 = 0

cos (x) = \frac{5}{20}

sin(x)-sqrt(3)cos(x)=1,0<= x<= 2pi

sin (x) - 3 cos (x) = 1, 0 \leq x \leq 2 π

arccos(θ)= 5/7

arccos (θ) = \frac{5}{7}