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人気のある三角関数 >

4.58^2=3.3^2+3.3^2-2(3.3)(3.3)cos(x)

解

4.5 8^{2} = 3. 3^{2} + 3. 3^{2} - 2 (3.3) (3.3) cos (x)

解

x = 1.53389 \dots + 2 πn, x = 2 π - 1.53389 \dots + 2 πn

+1

度

x = 87.88552 \dots^{\circ} + 36 0^{\circ} n, x = 272.11447 \dots^{\circ} + 36 0^{\circ} n

解答ステップ

4.5 8^{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) = 4.5 8^{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

4.5 8^{2} : 20.9764

4.5 8^{2}

4.5 8^{2} = 20.9764

= 20.9764

21.78 - 21.78 cos (x) = 20.9764

21.78

を右側に移動します

21.78 - 21.78 cos (x) = 20.9764

両辺から

21.78

を引く

21.78 - 21.78 cos (x) - 21.78 = 20.9764 - 21.78

簡素化

- 21.78 cos (x) = - 0.8036

- 21.78 cos (x) = - 0.8036

以下で両辺を割る

- 21.78

- 21.78 cos (x) = - 0.8036

以下で両辺を割る

- 21.78

\frac{- 21.78 cos ( x )}{- 21.78} = \frac{- 0.8036}{- 21.78}

簡素化

cos (x) = \frac{0.8036}{21.78}

cos (x) = \frac{0.8036}{21.78}

三角関数の逆数プロパティを適用する

cos (x) = \frac{0.8036}{21.78}

以下の一般解

cos (x) = \frac{0.8036}{21.78}

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

x = arccos (\frac{0.8036}{21.78}) + 2 πn, x = 2 π - arccos (\frac{0.8036}{21.78}) + 2 πn

x = arccos (\frac{0.8036}{21.78}) + 2 πn, x = 2 π - arccos (\frac{0.8036}{21.78}) + 2 πn

10進法形式で解を証明する

x = 1.53389 \dots + 2 πn, x = 2 π - 1.53389 \dots + 2 πn

グラフ

人気の例

4 - 3 sin (θ) = 7

sin(x)cos(x)=-1/4 ,0<= x<= 2pi

sin (x) cos (x) = - \frac{1}{4}, 0 \leq x \leq 2 π

tan (x) = (\frac{4}{3})

4sin^2(x)+4cos(2x)=1

4 sin^{2} (x) + 4 cos (2 x) = 1

cot(θ)=4,cos(θ)<0

cot (θ) = 4, cos (θ) < 0