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人気のある三角関数 >

0.3=sin(9x)

解

0.3 = sin (9 x)

解

x = \frac{0.30469 \dots}{9} + \frac{2 πn}{9}, x = \frac{π}{9} - \frac{0.30469 \dots}{9} + \frac{2 πn}{9}

+1

度

x = 1.93973 \dots^{\circ} + 4 0^{\circ} n, x = 18.06026 \dots^{\circ} + 4 0^{\circ} n

解答ステップ

0.3 = sin (9 x)

辺を交換する

sin (9 x) = 0.3

三角関数の逆数プロパティを適用する

sin (9 x) = 0.3

以下の一般解

sin (9 x) = 0.3

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

9 x = arcsin (0.3) + 2 πn, 9 x = π - arcsin (0.3) + 2 πn

9 x = arcsin (0.3) + 2 πn, 9 x = π - arcsin (0.3) + 2 πn

解く

9 x = arcsin (0.3) + 2 πn : x = \frac{arcsin ( 0.3 )}{9} + \frac{2 πn}{9}

9 x = arcsin (0.3) + 2 πn

以下で両辺を割る

9

9 x = arcsin (0.3) + 2 πn

以下で両辺を割る

9

\frac{9 x}{9} = \frac{arcsin ( 0.3 )}{9} + \frac{2 πn}{9}

簡素化

x = \frac{arcsin ( 0.3 )}{9} + \frac{2 πn}{9}

x = \frac{arcsin ( 0.3 )}{9} + \frac{2 πn}{9}

解く

9 x = π - arcsin (0.3) + 2 πn : x = \frac{π}{9} - \frac{arcsin ( 0.3 )}{9} + \frac{2 πn}{9}

9 x = π - arcsin (0.3) + 2 πn

以下で両辺を割る

9

9 x = π - arcsin (0.3) + 2 πn

以下で両辺を割る

9

\frac{9 x}{9} = \frac{π}{9} - \frac{arcsin ( 0.3 )}{9} + \frac{2 πn}{9}

簡素化

x = \frac{π}{9} - \frac{arcsin ( 0.3 )}{9} + \frac{2 πn}{9}

x = \frac{π}{9} - \frac{arcsin ( 0.3 )}{9} + \frac{2 πn}{9}

x = \frac{arcsin ( 0.3 )}{9} + \frac{2 πn}{9}, x = \frac{π}{9} - \frac{arcsin ( 0.3 )}{9} + \frac{2 πn}{9}

10進法形式で解を証明する

x = \frac{0.30469 \dots}{9} + \frac{2 πn}{9}, x = \frac{π}{9} - \frac{0.30469 \dots}{9} + \frac{2 πn}{9}

グラフ

人気の例

sin(7x)=cos(2x)

sin (7 x) = cos (2 x)

cos^2(x)=cot(x)sin(x)

cos^{2} (x) = cot (x) sin (x)

sec^2(x)csc(x)-2csc(x)=2-sec^2(x)

sec^{2} (x) csc (x) - 2 csc (x) = 2 - sec^{2} (x)

2sin(x)=-sqrt(2),0<= x<= 2pi

2 sin (x) = - 2, 0 \leq x \leq 2 π

csc (a) = 3