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受欢迎的三角函数 >

tan(2x)= 4/3

解答

tan (2 x) = \frac{4}{3}

解答

x = \frac{0.92729 \dots}{2} + \frac{πn}{2}

+1

度数

x = 26.56505 \dots^{\circ} + 9 0^{\circ} n

求解步骤

tan (2 x) = \frac{4}{3}

使用反三角函数性质

tan (2 x) = \frac{4}{3}

tan (2 x) = \frac{4}{3}

的通解

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

2 x = arctan (\frac{4}{3}) + πn

2 x = arctan (\frac{4}{3}) + πn

解

2 x = arctan (\frac{4}{3}) + πn : x = \frac{arctan ( \frac{4}{3} )}{2} + \frac{πn}{2}

2 x = arctan (\frac{4}{3}) + πn

两边除以

2

2 x = arctan (\frac{4}{3}) + πn

两边除以

2

\frac{2 x}{2} = \frac{arctan ( \frac{4}{3} )}{2} + \frac{πn}{2}

化简

x = \frac{arctan ( \frac{4}{3} )}{2} + \frac{πn}{2}

x = \frac{arctan ( \frac{4}{3} )}{2} + \frac{πn}{2}

x = \frac{arctan ( \frac{4}{3} )}{2} + \frac{πn}{2}

以小数形式表示解

x = \frac{0.92729 \dots}{2} + \frac{πn}{2}

作图

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