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受欢迎的三角函数 >

tan(A/2)=sqrt(1.02)

解答

tan (\frac{A}{2}) = 1.02

解答

A = 2 \cdot 0.79034 \dots + 2 πn

+1

度数

A = 90.56729 \dots^{\circ} + 36 0^{\circ} n

求解步骤

tan (\frac{A}{2}) = 1.02

使用反三角函数性质

tan (\frac{A}{2}) = 1.02

tan (\frac{A}{2}) = 1.02

的通解

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

\frac{A}{2} = arctan (1.02) + πn

\frac{A}{2} = arctan (1.02) + πn

解

\frac{A}{2} = arctan (1.02) + πn : A = 2 arctan (1.02) + 2 πn

\frac{A}{2} = arctan (1.02) + πn

在两边乘以

2

\frac{A}{2} = arctan (1.02) + πn

在两边乘以

2

\frac{2 A}{2} = 2 arctan (1.02) + 2 πn

化简

A = 2 arctan (1.02) + 2 πn

A = 2 arctan (1.02) + 2 πn

A = 2 arctan (1.02) + 2 πn

以小数形式表示解

A = 2 \cdot 0.79034 \dots + 2 πn

作图

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