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人気のある三角関数 >

tan(x)csc(x)=cos(2)

解

tan (x) csc (x) = cos (2)

解

以下の解はない : x \in R

解答ステップ

tan (x) csc (x) = cos (2)

両辺から

cos (2)

を引く

tan (x) csc (x) - cos (2) = 0

サイン, コサインで表わす

- cos (2) + csc (x) tan (x)

基本的な三角関数の公式を使用する:

csc (x) = \frac{1}{sin ( x )}

= - cos (2) + \frac{1}{sin ( x )} tan (x)

基本的な三角関数の公式を使用する:

tan (x) = \frac{sin ( x )}{cos ( x )}

= - cos (2) + \frac{1}{sin ( x )} \cdot \frac{sin ( x )}{cos ( x )}

簡素化

- cos (2) + \frac{1}{sin ( x )} \cdot \frac{sin ( x )}{cos ( x )} : \frac{- cos ( 2 ) cos ( x ) + 1}{cos ( x )}

- cos (2) + \frac{1}{sin ( x )} \cdot \frac{sin ( x )}{cos ( x )}

\frac{1}{sin ( x )} \cdot \frac{sin ( x )}{cos ( x )} = \frac{1}{cos ( x )}

\frac{1}{sin ( x )} \cdot \frac{sin ( x )}{cos ( x )}

分数を乗じる:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot sin ( x )}{sin ( x ) cos ( x )}

共通因数を約分する:

sin (x)

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

= - cos (2) + \frac{1}{cos ( x )}

元を分数に変換する:

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

= - \frac{cos ( 2 ) cos ( x )}{cos ( x )} + \frac{1}{cos ( x )}

分母が等しいので, 分数を組み合わせる:

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

= \frac{- cos ( 2 ) cos ( x ) + 1}{cos ( x )}

= \frac{- cos ( 2 ) cos ( x ) + 1}{cos ( x )}

\frac{1 - cos ( 2 ) cos ( x )}{cos ( x )} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

1 - cos (2) cos (x) = 0

1

を右側に移動します

1 - cos (2) cos (x) = 0

両辺から

1

を引く

1 - cos (2) cos (x) - 1 = 0 - 1

簡素化

- cos (2) cos (x) = - 1

- cos (2) cos (x) = - 1

以下で両辺を割る

- cos (2)

- cos (2) cos (x) = - 1

以下で両辺を割る

- cos (2)

\frac{- cos ( 2 ) cos ( x )}{- cos ( 2 )} = \frac{- 1}{- cos ( 2 )}

簡素化

cos (x) = \frac{1}{cos ( 2 )}

cos (x) = \frac{1}{cos ( 2 )}

- 1 \leq cos (x) \leq 1

以下の解はない : x \in R

グラフ

人気の例

solvefor x,z=e^ysin(x)y

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tan (θ) sec (θ) = cot (θ) csc (θ)

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cos^2(x)-cos(x)=0.75

cos^{2} (x) - cos (x) = 0.75

2sin^3(x)+cos^2(x)=1

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