ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある三角関数 >

4cos(x-45)+7=10

解

4 cos (x - 4 5^{\circ}) + 7 = 10

解

x = 0.72273 \dots + 36 0^{\circ} n + 4 5^{\circ}, x = 36 0^{\circ} - 0.72273 \dots + 36 0^{\circ} n + 4 5^{\circ}

+1

ラジアン

x = 0.72273 \dots + \frac{π}{4} + 2 πn, x = 2 π - 0.72273 \dots + \frac{π}{4} + 2 πn

解答ステップ

4 cos (x - 4 5^{\circ}) + 7 = 10

7

を右側に移動します

4 cos (x - 4 5^{\circ}) + 7 = 10

両辺から

7

を引く

4 cos (x - 4 5^{\circ}) + 7 - 7 = 10 - 7

簡素化

4 cos (x - 4 5^{\circ}) = 3

4 cos (x - 4 5^{\circ}) = 3

以下で両辺を割る

4

4 cos (x - 4 5^{\circ}) = 3

以下で両辺を割る

4

\frac{4 cos ( x - 4 5 ^{\circ} )}{4} = \frac{3}{4}

簡素化

cos (x - 4 5^{\circ}) = \frac{3}{4}

cos (x - 4 5^{\circ}) = \frac{3}{4}

三角関数の逆数プロパティを適用する

cos (x - 4 5^{\circ}) = \frac{3}{4}

以下の一般解

cos (x - 4 5^{\circ}) = \frac{3}{4}

cos (x) = a \Rightarrow x = arccos (a) + 36 0^{\circ} n, x = 36 0^{\circ} - arccos (a) + 36 0^{\circ} n

x - 4 5^{\circ} = arccos (\frac{3}{4}) + 36 0^{\circ} n, x - 4 5^{\circ} = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n

x - 4 5^{\circ} = arccos (\frac{3}{4}) + 36 0^{\circ} n, x - 4 5^{\circ} = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n

解く

x - 4 5^{\circ} = arccos (\frac{3}{4}) + 36 0^{\circ} n : x = arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

x - 4 5^{\circ} = arccos (\frac{3}{4}) + 36 0^{\circ} n

4 5^{\circ}

を右側に移動します

x - 4 5^{\circ} = arccos (\frac{3}{4}) + 36 0^{\circ} n

両辺に

4 5^{\circ}

を足す

x - 4 5^{\circ} + 4 5^{\circ} = arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

簡素化

x = arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

x = arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

解く

x - 4 5^{\circ} = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n : x = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

x - 4 5^{\circ} = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n

4 5^{\circ}

を右側に移動します

x - 4 5^{\circ} = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n

両辺に

4 5^{\circ}

を足す

x - 4 5^{\circ} + 4 5^{\circ} = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

簡素化

x = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

x = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

x = arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}, x = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

10進法形式で解を証明する

x = 0.72273 \dots + 36 0^{\circ} n + 4 5^{\circ}, x = 36 0^{\circ} - 0.72273 \dots + 36 0^{\circ} n + 4 5^{\circ}

グラフ

人気の例

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

cos^{2} (x) = 3 (1 - sin (x))

- 2 = 2 cos (3 θ)

cos (x) = \frac{4}{30}

solvefor t,x=sin(2t)+1

so l v e f or t, x = sin (2 t) + 1

cos (x) = \frac{4}{35}