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受欢迎的三角函数 >

(tan^2(b)+1)/((tan(x)))=csc^2(b)

解答

\frac{tan ^{2} ( b ) + 1}{( tan ( x ) )} = csc^{2} (b)

解答

x = arctan (\frac{tan ^{2} ( b ) + 1}{csc ^{2} ( b )}) + πn

求解步骤

\frac{tan ^{2} ( b ) + 1}{( tan ( x ) )} = csc^{2} (b)

在两边乘以

tan (x)

\frac{tan ^{2} ( b ) + 1}{tan ( x )} = csc^{2} (b)

在两边乘以

tan (x)

\frac{tan ^{2} ( b ) + 1}{tan ( x )} tan (x) = csc^{2} (b) tan (x)

化简

tan^{2} (b) + 1 = csc^{2} (b) tan (x)

tan^{2} (b) + 1 = csc^{2} (b) tan (x)

交换两边

csc^{2} (b) tan (x) = tan^{2} (b) + 1

两边除以

csc^{2} (b)

csc^{2} (b) tan (x) = tan^{2} (b) + 1

两边除以

csc^{2} (b)

\frac{csc ^{2} ( b ) tan ( x )}{csc ^{2} ( b )} = \frac{tan ^{2} ( b )}{csc ^{2} ( b )} + \frac{1}{csc ^{2} ( b )}

化简

\frac{csc ^{2} ( b ) tan ( x )}{csc ^{2} ( b )} = \frac{tan ^{2} ( b )}{csc ^{2} ( b )} + \frac{1}{csc ^{2} ( b )}

化简

\frac{csc ^{2} ( b ) tan ( x )}{csc ^{2} ( b )} : tan (x)

\frac{csc ^{2} ( b ) tan ( x )}{csc ^{2} ( b )}

约分:

csc^{2} (b)

= tan (x)

化简

\frac{tan ^{2} ( b )}{csc ^{2} ( b )} + \frac{1}{csc ^{2} ( b )} : \frac{tan ^{2} ( b ) + 1}{csc ^{2} ( b )}

\frac{tan ^{2} ( b )}{csc ^{2} ( b )} + \frac{1}{csc ^{2} ( b )}

使用法则

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{tan ^{2} ( b ) + 1}{csc ^{2} ( b )}

tan (x) = \frac{tan ^{2} ( b ) + 1}{csc ^{2} ( b )}

tan (x) = \frac{tan ^{2} ( b ) + 1}{csc ^{2} ( b )}

tan (x) = \frac{tan ^{2} ( b ) + 1}{csc ^{2} ( b )}

使用反三角函数性质

tan (x) = \frac{tan ^{2} ( b ) + 1}{csc ^{2} ( b )}

tan (x) = \frac{tan ^{2} ( b ) + 1}{csc ^{2} ( b )}

的通解

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

x = arctan (\frac{tan ^{2} ( b ) + 1}{csc ^{2} ( b )}) + πn

x = arctan (\frac{tan ^{2} ( b ) + 1}{csc ^{2} ( b )}) + πn

作图

流行的例子

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