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人気のある三角関数 >

4.72^2=3.3^2+3.3^2-2(3.3)(3.3)cos(x)

解

4.7 2^{2} = 3. 3^{2} + 3. 3^{2} - 2 (3.3) (3.3) cos (x)

解

x = 1.59368 \dots + 2 πn, x = - 1.59368 \dots + 2 πn

+1

度

x = 91.31123 \dots^{\circ} + 36 0^{\circ} n, x = - 91.31123 \dots^{\circ} + 36 0^{\circ} n

解答ステップ

4.7 2^{2} = 3. 3^{2} + 3. 3^{2} - 2 (3.3) (3.3) cos (x)

辺を交換する

3. 3^{2} + 3. 3^{2} - 2 \cdot 3.3 \cdot 3.3 cos (x) = 4.7 2^{2}

簡素化

3. 3^{2} + 3. 3^{2} - 2 \cdot 3.3 \cdot 3.3 cos (x) : 21.78 - 21.78 cos (x)

3. 3^{2} + 3. 3^{2} - 2 \cdot 3.3 \cdot 3.3 cos (x)

類似した元を足す:

3. 3^{2} + 3. 3^{2} = 2 \cdot 3. 3^{2}

= 2 \cdot 3. 3^{2} - 2 \cdot 3.3 \cdot 3.3 cos (x)

数を乗じる:

2 \cdot 3.3 \cdot 3.3 = 21.78

= 2 \cdot 3. 3^{2} - 21.78 cos (x)

2 \cdot 3. 3^{2} = 21.78

2 \cdot 3. 3^{2}

3. 3^{2} = 10.89

= 2 \cdot 10.89

数を乗じる:

2 \cdot 10.89 = 21.78

= 21.78

= 21.78 - 21.78 cos (x)

簡素化

4.7 2^{2} : 22.2784

4.7 2^{2}

4.7 2^{2} = 22.2784

= 22.2784

21.78 - 21.78 cos (x) = 22.2784

21.78

を右側に移動します

21.78 - 21.78 cos (x) = 22.2784

両辺から

21.78

を引く

21.78 - 21.78 cos (x) - 21.78 = 22.2784 - 21.78

簡素化

- 21.78 cos (x) = 0.4984

- 21.78 cos (x) = 0.4984

以下で両辺を割る

- 21.78

- 21.78 cos (x) = 0.4984

以下で両辺を割る

- 21.78

\frac{- 21.78 cos ( x )}{- 21.78} = \frac{0.4984}{- 21.78}

簡素化

cos (x) = - \frac{0.4984}{21.78}

cos (x) = - \frac{0.4984}{21.78}

三角関数の逆数プロパティを適用する

cos (x) = - \frac{0.4984}{21.78}

以下の一般解

cos (x) = - \frac{0.4984}{21.78}

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

x = arccos (- \frac{0.4984}{21.78}) + 2 πn, x = - arccos (- \frac{0.4984}{21.78}) + 2 πn

x = arccos (- \frac{0.4984}{21.78}) + 2 πn, x = - arccos (- \frac{0.4984}{21.78}) + 2 πn

10進法形式で解を証明する

x = 1.59368 \dots + 2 πn, x = - 1.59368 \dots + 2 πn

グラフ

人気の例

2sin(x-30)=cos(x-60)

2 sin (x - 3 0^{\circ}) = cos (x - 6 0^{\circ})

2cos(2x)=sin(2x)

2 cos (2 x) = sin (2 x)

cos (2 x) = \frac{3}{4}

sec(θ)csc(θ)=2csc(θ)

sec (θ) csc (θ) = 2 csc (θ)

sin(A)=((60)sin(155))/(97.73)

sin (A) = \frac{( 60 ) sin ( 15 5 ^{\circ} )}{97.73}