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人気のある三角関数 >

5^2=8^2-(11.85)^2-2(8)(11.85)(cos(A))

解

5^{2} = 8^{2} - (11.85)^{2} - 2 (8) (11.85) (cos (A))

解

A = 2.13521 \dots + 2 πn, A = - 2.13521 \dots + 2 πn

+1

度

A = 122.33908 \dots^{\circ} + 36 0^{\circ} n, A = - 122.33908 \dots^{\circ} + 36 0^{\circ} n

解答ステップ

5^{2} = 8^{2} - (11.85)^{2} - 2 (8) (11.85) (cos (A))

辺を交換する

8^{2} - 11.8 5^{2} - 2 \cdot 8 \cdot 11.85 cos (A) = 5^{2}

数を乗じる:

2 \cdot 8 \cdot 11.85 = 189.6

8^{2} - 11.8 5^{2} - 189.6 cos (A) = 5^{2}

8^{2} = 64

64 - 11.8 5^{2} - 189.6 cos (A) = 5^{2}

11.8 5^{2} = 140.4225

64 - 140.4225 - 189.6 cos (A) = 5^{2}

数を引く:

64 - 140.4225 = - 76.4225

- 189.6 cos (A) - 76.4225 = 5^{2}

5^{2} = 25

- 189.6 cos (A) - 76.4225 = 25

76.4225

を右側に移動します

- 189.6 cos (A) - 76.4225 = 25

両辺に

76.4225

を足す

- 189.6 cos (A) - 76.4225 + 76.4225 = 25 + 76.4225

簡素化

- 189.6 cos (A) = 101.4225

- 189.6 cos (A) = 101.4225

以下で両辺を割る

- 189.6

- 189.6 cos (A) = 101.4225

以下で両辺を割る

- 189.6

\frac{- 189.6 cos ( A )}{- 189.6} = \frac{101.4225}{- 189.6}

簡素化

cos (A) = - \frac{101.4225}{189.6}

cos (A) = - \frac{101.4225}{189.6}

三角関数の逆数プロパティを適用する

cos (A) = - \frac{101.4225}{189.6}

以下の一般解

cos (A) = - \frac{101.4225}{189.6}

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

A = arccos (- \frac{101.4225}{189.6}) + 2 πn, A = - arccos (- \frac{101.4225}{189.6}) + 2 πn

A = arccos (- \frac{101.4225}{189.6}) + 2 πn, A = - arccos (- \frac{101.4225}{189.6}) + 2 πn

10進法形式で解を証明する

A = 2.13521 \dots + 2 πn, A = - 2.13521 \dots + 2 πn

グラフ

人気の例

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