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人気のある三角関数 >

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

解

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

解

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

解答ステップ

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

以下で両辺を乗じる:

tan (x)

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

以下で両辺を乗じる:

tan (x)

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

簡素化

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

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

辺を交換する

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

以下で両辺を割る

csc^{2} (b)

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

以下で両辺を割る

csc^{2} (b)

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

簡素化

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

簡素化

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

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

共通因数を約分する:

csc^{2} (b)

= tan (x)

簡素化

\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 )}

規則を適用

\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 )}

三角関数の逆数プロパティを適用する

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

以下の一般解

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

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

グラフ

人気の例

sin(x)+sin^2(x/2)= 1/2

sin (x) + sin^{2} (\frac{x}{2}) = \frac{1}{2}

sin^5(x)+sin^3(x)=0

sin^{5} (x) + sin^{3} (x) = 0

5sin^2(x)cos(7x)-cos(7x)=0

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solvefor x,cos^2(x)*z^2-2cos^2(x)*z+1=0

so l v e f or x, cos^{2} (x) \cdot z^{2} - 2 cos^{2} (x) \cdot z + 1 = 0

sin(a)+sin(120+a)+sin(120-a)=0

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