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人気のある三角関数 >

-sec(x)=csc(3.45)

解

- sec (x) = csc (3.45)

解

x = 1.26238 \dots + 2 πn, x = 2 π - 1.26238 \dots + 2 πn

+1

度

x = 72.32956 \dots^{\circ} + 36 0^{\circ} n, x = 287.67043 \dots^{\circ} + 36 0^{\circ} n

解答ステップ

- sec (x) = csc (3.45)

csc (3.45) = csc (\frac{69}{20})

csc (3.45)

- sec (x) = csc (\frac{69}{20})

以下で両辺を割る

- 1

- sec (x) = csc (\frac{69}{20})

以下で両辺を割る

- 1

\frac{- sec ( x )}{- 1} = \frac{csc ( \frac{69}{20} )}{- 1}

簡素化

\frac{- sec ( x )}{- 1} = \frac{csc ( \frac{69}{20} )}{- 1}

簡素化

\frac{- sec ( x )}{- 1} : sec (x)

\frac{- sec ( x )}{- 1}

分数の規則を適用する:

\frac{- a}{- b} = \frac{a}{b}

= \frac{sec ( x )}{1}

規則を適用

\frac{a}{1} = a

= sec (x)

簡素化

\frac{csc ( \frac{69}{20} )}{- 1} : - csc (\frac{69}{20})

\frac{csc ( \frac{69}{20} )}{- 1}

分数の規則を適用する:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{csc ( \frac{69}{20} )}{1}

分数の規則を適用する:

\frac{a}{1} = a

\frac{csc ( \frac{69}{20} )}{1} = csc (\frac{69}{20})

= - csc (\frac{69}{20})

sec (x) = - csc (\frac{69}{20})

sec (x) = - csc (\frac{69}{20})

sec (x) = - csc (\frac{69}{20})

三角関数の逆数プロパティを適用する

sec (x) = - csc (\frac{69}{20})

以下の一般解

sec (x) = - csc (\frac{69}{20})

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

x = arcsec (- csc (\frac{69}{20})) + 2 πn, x = 2 π - arcsec (- csc (\frac{69}{20})) + 2 πn

x = arcsec (- csc (\frac{69}{20})) + 2 πn, x = 2 π - arcsec (- csc (\frac{69}{20})) + 2 πn

10進法形式で解を証明する

x = 1.26238 \dots + 2 πn, x = 2 π - 1.26238 \dots + 2 πn

グラフ

人気の例

cos (2 x) = \frac{8}{17}

tan(x)(csc(x)+2)=0

tan (x) (csc (x) + 2) = 0

sin(pi+θ)=sin(θ)

sin (π + θ) = sin (θ)

tan(t)+sec(t)=1

tan (t) + sec (t) = 1

sin(5x-10)=cos(x-8)

sin (5 x - 10) = cos (x - 8)