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受欢迎的三角函数 >

tan(x/2)=(4-pi)/pi

解答

tan (\frac{x}{2}) = \frac{4 - π}{π}

解答

x = 2 \cdot 0.26672 \dots + 2 πn

+1

度数

x = 30.56486 \dots^{\circ} + 36 0^{\circ} n

求解步骤

tan (\frac{x}{2}) = \frac{4 - π}{π}

使用反三角函数性质

tan (\frac{x}{2}) = \frac{4 - π}{π}

tan (\frac{x}{2}) = \frac{4 - π}{π}

的通解

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

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

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

解

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

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

在两边乘以

2

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

在两边乘以

2

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

化简

x = 2 arctan (\frac{4 - π}{π}) + 2 πn

x = 2 arctan (\frac{4 - π}{π}) + 2 πn

x = 2 arctan (\frac{4 - π}{π}) + 2 πn

以小数形式表示解

x = 2 \cdot 0.26672 \dots + 2 πn

作图

流行的例子

sin^2(x)=sin^2(x)sec(x)

sin^{2} (x) = sin^{2} (x) sec (x)

sin(x)=(4.2)/(9.5)

sin (x) = \frac{4.2}{9.5}

cos(x)=(4.6)/(8.6)

cos (x) = \frac{4.6}{8.6}

5tan(x)+5tan^2(x)=0

5 tan (x) + 5 tan^{2} (x) = 0

8sec^2(x)-8sec(x)=16

8 sec^{2} (x) - 8 sec (x) = 16