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受欢迎的三角函数 >

tan(2x)=0.5

解答

tan (2 x) = 0.5

解答

x = \frac{0.46364 \dots}{2} + \frac{πn}{2}

+1

度数

x = 13.28252 \dots^{\circ} + 9 0^{\circ} n

求解步骤

tan (2 x) = 0.5

使用反三角函数性质

tan (2 x) = 0.5

tan (2 x) = 0.5

的通解

tan (x) = a \Rightarrow x = arctan (a) + πn

2 x = arctan (0.5) + πn

2 x = arctan (0.5) + πn

解

2 x = arctan (0.5) + πn : x = \frac{arctan ( 0.5 )}{2} + \frac{πn}{2}

2 x = arctan (0.5) + πn

两边除以

2

2 x = arctan (0.5) + πn

两边除以

2

\frac{2 x}{2} = \frac{arctan ( 0.5 )}{2} + \frac{πn}{2}

化简

x = \frac{arctan ( 0.5 )}{2} + \frac{πn}{2}

x = \frac{arctan ( 0.5 )}{2} + \frac{πn}{2}

x = \frac{arctan ( 0.5 )}{2} + \frac{πn}{2}

以小数形式表示解

x = \frac{0.46364 \dots}{2} + \frac{πn}{2}

作图

流行的例子

csc^2(x)-2cot(x)=4

csc^{2} (x) - 2 cot (x) = 4

- 0.5 = cos (x)

sin (x) = 0.6691

sin(x)= 15/17 ,0<x<90

sin (x) = \frac{15}{17}, 0^{\circ} < x < 9 0^{\circ}

-2csc(θ)-8=-12

- 2 csc (θ) - 8 = - 12