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人気のある三角関数 >

(sin(65))/5 =(sin(x))/4

解

\frac{sin ( 6 5 ^{\circ} )}{5} = \frac{sin ( x )}{4}

解

x = 0.81110 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.81110 \dots + 36 0^{\circ} n

+1

ラジアン

x = 0.81110 \dots + 2 πn, x = π - 0.81110 \dots + 2 πn

解答ステップ

\frac{sin ( 6 5 ^{\circ} )}{5} = \frac{sin ( x )}{4}

辺を交換する

\frac{sin ( x )}{4} = \frac{sin ( 6 5 ^{\circ} )}{5}

以下で両辺を乗じる:

4

\frac{sin ( x )}{4} = \frac{sin ( 6 5 ^{\circ} )}{5}

以下で両辺を乗じる:

4

\frac{4 sin ( x )}{4} = \frac{4 sin ( 6 5 ^{\circ} )}{5}

簡素化

sin (x) = \frac{4 sin ( 6 5 ^{\circ} )}{5}

sin (x) = \frac{4 sin ( 6 5 ^{\circ} )}{5}

三角関数の逆数プロパティを適用する

sin (x) = \frac{4 sin ( 6 5 ^{\circ} )}{5}

以下の一般解

sin (x) = \frac{4 sin ( 6 5 ^{\circ} )}{5}

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

x = arcsin (\frac{4 sin ( 6 5 ^{\circ} )}{5}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{4 sin ( 6 5 ^{\circ} )}{5}) + 36 0^{\circ} n

x = arcsin (\frac{4 sin ( 6 5 ^{\circ} )}{5}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{4 sin ( 6 5 ^{\circ} )}{5}) + 36 0^{\circ} n

10進法形式で解を証明する

x = 0.81110 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.81110 \dots + 36 0^{\circ} n

グラフ

人気の例

1.33*sin(60)=1.52*sin(x)

1.33 \cdot sin (6 0^{\circ}) = 1.52 \cdot sin (x)

tan(x)=-3cos(x)tan(x)

tan (x) = - 3 cos (x) tan (x)

tan(x-pi/4)= 1/6

tan (x - \frac{π}{4}) = \frac{1}{6}

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

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

arccos((sqrt(3))/2)+arcsin(3x)= pi/2

arccos (\frac{3}{2}) + arcsin (3 x) = \frac{π}{2}