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人気のある三角関数 >

cos^2(x)=0.3

解

cos^{2} (x) = 0.3

解

x = 0.99115 \dots + 2 πn, x = 2 π - 0.99115 \dots + 2 πn, x = 2.15043 \dots + 2 πn, x = - 2.15043 \dots + 2 πn

+1

度

x = 56.78908 \dots^{\circ} + 36 0^{\circ} n, x = 303.21091 \dots^{\circ} + 36 0^{\circ} n, x = 123.21091 \dots^{\circ} + 36 0^{\circ} n, x = - 123.21091 \dots^{\circ} + 36 0^{\circ} n

解答ステップ

cos^{2} (x) = 0.3

置換で解く

cos^{2} (x) = 0.3

仮定:

cos (x) = u

u^{2} = 0.3

u^{2} = 0.3 : u = 0.3, u = - 0.3

u^{2} = 0.3

x^{2} = f (a)

の場合, 解は

x = f (a), - f (a)

u = 0.3, u = - 0.3

代用を戻す

u = cos (x)

cos (x) = 0.3, cos (x) = - 0.3

cos (x) = 0.3, cos (x) = - 0.3

cos (x) = 0.3 : x = arccos (0.3) + 2 πn, x = 2 π - arccos (0.3) + 2 πn

cos (x) = 0.3

三角関数の逆数プロパティを適用する

cos (x) = 0.3

以下の一般解

cos (x) = 0.3

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

x = arccos (0.3) + 2 πn, x = 2 π - arccos (0.3) + 2 πn

x = arccos (0.3) + 2 πn, x = 2 π - arccos (0.3) + 2 πn

cos (x) = - 0.3 : x = arccos (- 0.3) + 2 πn, x = - arccos (- 0.3) + 2 πn

cos (x) = - 0.3

三角関数の逆数プロパティを適用する

cos (x) = - 0.3

以下の一般解

cos (x) = - 0.3

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

x = arccos (- 0.3) + 2 πn, x = - arccos (- 0.3) + 2 πn

x = arccos (- 0.3) + 2 πn, x = - arccos (- 0.3) + 2 πn

すべての解を組み合わせる

x = arccos (0.3) + 2 πn, x = 2 π - arccos (0.3) + 2 πn, x = arccos (- 0.3) + 2 πn, x = - arccos (- 0.3) + 2 πn

10進法形式で解を証明する

x = 0.99115 \dots + 2 πn, x = 2 π - 0.99115 \dots + 2 πn, x = 2.15043 \dots + 2 πn, x = - 2.15043 \dots + 2 πn

グラフ

人気の例

sin((3pi)/4+1/12 x)=1

sin (\frac{3 π}{4} + \frac{1}{12} x) = 1

sinh(x40)= 30/40

sinh (x 40) = \frac{30}{40}

tan (θ) = 0.36

4cosh(x)+3sinh(x)=5

4 cosh (x) + 3 sinh (x) = 5

tan (θ) = 0.04