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受欢迎的三角函数 >

tan(x/2)=5

解答

tan (\frac{x}{2}) = 5

解答

x = 2 \cdot 1.37340 \dots + 2 πn

+1

度数

x = 157.38013 \dots^{\circ} + 36 0^{\circ} n

求解步骤

tan (\frac{x}{2}) = 5

使用反三角函数性质

tan (\frac{x}{2}) = 5

tan (\frac{x}{2}) = 5

的通解

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

\frac{x}{2} = arctan (5) + πn

\frac{x}{2} = arctan (5) + πn

解

\frac{x}{2} = arctan (5) + πn : x = 2 arctan (5) + 2 πn

\frac{x}{2} = arctan (5) + πn

在两边乘以

2

\frac{x}{2} = arctan (5) + πn

在两边乘以

2

\frac{2 x}{2} = 2 arctan (5) + 2 πn

化简

x = 2 arctan (5) + 2 πn

x = 2 arctan (5) + 2 πn

x = 2 arctan (5) + 2 πn

以小数形式表示解

x = 2 \cdot 1.37340 \dots + 2 πn

作图

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