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人気のある三角関数 >

solvefor x,t^2=2sec(x)

解

解く

x, t^{2} = 2 sec (x)

解

x = arcsec (\frac{t ^{2}}{2}) + 2 πn, x = - arcsec (\frac{t ^{2}}{2}) + 2 πn

解答ステップ

t^{2} = 2 sec (x)

辺を交換する

2 sec (x) = t^{2}

以下で両辺を割る

2

2 sec (x) = t^{2}

以下で両辺を割る

2

\frac{2 sec ( x )}{2} = \frac{t ^{2}}{2}

簡素化

sec (x) = \frac{t ^{2}}{2}

sec (x) = \frac{t ^{2}}{2}

三角関数の逆数プロパティを適用する

sec (x) = \frac{t ^{2}}{2}

以下の一般解

sec (x) = \frac{t ^{2}}{2}

sec (x) = a \Rightarrow x = arcsec (a) + 2 πn, x = - arcsec (a) + 2 πn

x = arcsec (\frac{t ^{2}}{2}) + 2 πn, x = - arcsec (\frac{t ^{2}}{2}) + 2 πn

x = arcsec (\frac{t ^{2}}{2}) + 2 πn, x = - arcsec (\frac{t ^{2}}{2}) + 2 πn

グラフ

人気の例

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