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人気のある三角関数 >

cos(x-30)=0.22

解

cos (x - 3 0^{\circ}) = 0.22

解

x = 1.34898 \dots + 36 0^{\circ} n + 3 0^{\circ}, x = 36 0^{\circ} - 1.34898 \dots + 36 0^{\circ} n + 3 0^{\circ}

+1

ラジアン

x = 1.34898 \dots + \frac{π}{6} + 2 πn, x = 2 π - 1.34898 \dots + \frac{π}{6} + 2 πn

解答ステップ

cos (x - 3 0^{\circ}) = 0.22

三角関数の逆数プロパティを適用する

cos (x - 3 0^{\circ}) = 0.22

以下の一般解

cos (x - 3 0^{\circ}) = 0.22

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

x - 3 0^{\circ} = arccos (0.22) + 36 0^{\circ} n, x - 3 0^{\circ} = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n

x - 3 0^{\circ} = arccos (0.22) + 36 0^{\circ} n, x - 3 0^{\circ} = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n

解く

x - 3 0^{\circ} = arccos (0.22) + 36 0^{\circ} n : x = arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

x - 3 0^{\circ} = arccos (0.22) + 36 0^{\circ} n

3 0^{\circ}

を右側に移動します

x - 3 0^{\circ} = arccos (0.22) + 36 0^{\circ} n

両辺に

3 0^{\circ}

を足す

x - 3 0^{\circ} + 3 0^{\circ} = arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

簡素化

x = arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

x = arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

解く

x - 3 0^{\circ} = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n : x = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

x - 3 0^{\circ} = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n

3 0^{\circ}

を右側に移動します

x - 3 0^{\circ} = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n

両辺に

3 0^{\circ}

を足す

x - 3 0^{\circ} + 3 0^{\circ} = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

簡素化

x = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

x = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

x = arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}, x = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

10進法形式で解を証明する

x = 1.34898 \dots + 36 0^{\circ} n + 3 0^{\circ}, x = 36 0^{\circ} - 1.34898 \dots + 36 0^{\circ} n + 3 0^{\circ}

グラフ

人気の例

sin(4x-22)=cos(6x-13)

sin (4 x - 22) = cos (6 x - 13)

csc(x)=-3/(sqrt(5))

csc (x) = - \frac{3}{5}

cos(x)= 3/5 ,cos(2pi+x)

cos (x) = \frac{3}{5}, cos (2 π + x)

sin(45)=1.57*sin(θ)

sin (4 5^{\circ}) = 1.57 \cdot sin (θ)

9.68^2=12.5^2+6.47^2-2*12.5*6.47*cos(θ)

9.6 8^{2} = 12. 5^{2} + 6.4 7^{2} - 2 \cdot 12.5 \cdot 6.47 \cdot cos (θ)