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人気のある三角関数 >

1/2 (1+cos(x))=0.6294095226

解

\frac{1}{2} (1 + cos (x)) = 0.6294095226

解

x = 1.30899 \dots + 2 πn, x = 2 π - 1.30899 \dots + 2 πn

+1

度

x = 74.99999 \dots^{\circ} + 36 0^{\circ} n, x = 285.00000 \dots^{\circ} + 36 0^{\circ} n

解答ステップ

\frac{1}{2} (1 + cos (x)) = 0.6294095226

以下で両辺を乗じる:

2

\frac{1}{2} (1 + cos (x)) = 0.6294095226

以下で両辺を乗じる:

2

2 \cdot \frac{1}{2} (1 + cos (x)) = 0.6294095226 \cdot 2

簡素化

1 + cos (x) = 1.25881 \dots

1 + cos (x) = 1.25881 \dots

1

を右側に移動します

1 + cos (x) = 1.25881 \dots

両辺から

1

を引く

1 + cos (x) - 1 = 1.25881 \dots - 1

簡素化

cos (x) = 0.2588190452

cos (x) = 0.2588190452

三角関数の逆数プロパティを適用する

cos (x) = 0.2588190452

以下の一般解

cos (x) = 0.2588190452

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

x = arccos (0.2588190452) + 2 πn, x = 2 π - arccos (0.2588190452) + 2 πn

x = arccos (0.2588190452) + 2 πn, x = 2 π - arccos (0.2588190452) + 2 πn

10進法形式で解を証明する

x = 1.30899 \dots + 2 πn, x = 2 π - 1.30899 \dots + 2 πn

グラフ

人気の例

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2 + 2 cos (x) = 6 cos (x)

120=120sin(pi/3 c)

120 = 120 sin (\frac{π}{3} c)

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