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受欢迎的三角函数 >

tan(2θ)=2

解答

tan (2 θ) = 2

解答

θ = \frac{1.10714 \dots}{2} + \frac{πn}{2}

+1

度数

θ = 31.71747 \dots^{\circ} + 9 0^{\circ} n

求解步骤

tan (2 θ) = 2

使用反三角函数性质

tan (2 θ) = 2

tan (2 θ) = 2

的通解

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

2 θ = arctan (2) + πn

2 θ = arctan (2) + πn

解

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

2 θ = arctan (2) + πn

两边除以

2

2 θ = arctan (2) + πn

两边除以

2

\frac{2 θ}{2} = \frac{arctan ( 2 )}{2} + \frac{πn}{2}

化简

θ = \frac{arctan ( 2 )}{2} + \frac{πn}{2}

θ = \frac{arctan ( 2 )}{2} + \frac{πn}{2}

θ = \frac{arctan ( 2 )}{2} + \frac{πn}{2}

以小数形式表示解

θ = \frac{1.10714 \dots}{2} + \frac{πn}{2}

作图

流行的例子

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