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人気のある三角関数 >

cos(x)tan(x)-cos(x)=0,0<= x<= 2pi

解

cos (x) tan (x) - cos (x) = 0, 0 \leq x \leq 2 π

解

x = \frac{π}{4}, x = \frac{5 π}{4}

+1

度

x = 4 5^{\circ}, x = 22 5^{\circ}

解答ステップ

cos (x) tan (x) - cos (x) = 0, 0 \leq x \leq 2 π

因数

cos (x) tan (x) - cos (x) : cos (x) (tan (x) - 1)

cos (x) tan (x) - cos (x)

共通項をくくり出す

cos (x)

= cos (x) (tan (x) - 1)

cos (x) (tan (x) - 1) = 0

各部分を別個に解く

cos (x) = 0 or tan (x) - 1 = 0

cos (x) = 0, 0 \leq x \leq 2 π : x = \frac{π}{2}, x = \frac{3 π}{2}

cos (x) = 0, 0 \leq x \leq 2 π

以下の一般解

cos (x) = 0

cos (x)

2 πn

循環を含む周期性テーブル:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

範囲の解答

0 \leq x \leq 2 π

x = \frac{π}{2}, x = \frac{3 π}{2}

tan (x) - 1 = 0, 0 \leq x \leq 2 π : x = \frac{π}{4}, x = \frac{5 π}{4}

tan (x) - 1 = 0, 0 \leq x \leq 2 π

1

を右側に移動します

tan (x) - 1 = 0

両辺に

1

を足す

tan (x) - 1 + 1 = 0 + 1

簡素化

tan (x) = 1

tan (x) = 1

以下の一般解

tan (x) = 1

tan (x)

πn

循環を含む周期性テーブル:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

x = \frac{π}{4} + πn

x = \frac{π}{4} + πn

範囲の解答

0 \leq x \leq 2 π

x = \frac{π}{4}, x = \frac{5 π}{4}

すべての解を組み合わせる

x = \frac{π}{2}, x = \frac{3 π}{2}, x = \frac{π}{4}, x = \frac{5 π}{4}

equationは以下で未定義のため:

\frac{π}{2}, \frac{3 π}{2}

x = \frac{π}{4}, x = \frac{5 π}{4}

グラフ

人気の例

sin^2(2θ)-5sin(2θ)-1=0

sin^{2} (2 θ) - 5 sin (2 θ) - 1 = 0

-pi/(30)sin(pi/(90)(x+20))=0

- \frac{π}{30} sin (\frac{π}{90} (x + 20)) = 0

sin(2x)=-1/(sqrt(2))

sin (2 x) = - \frac{1}{2}

cos(x)=-(22)/(7.28*sqrt(20))

cos (x) = - \frac{22}{7.28 \cdot 20}

sec^2(x)=4tan(x)

sec^{2} (x) = 4 tan (x)