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人気のある三角関数 >

(sin(80))/5 =(sin(x))/4

解

\frac{sin ( 8 0 ^{\circ} )}{5} = \frac{sin ( x )}{4}

解

x = 0.90730 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.90730 \dots + 36 0^{\circ} n

+1

ラジアン

x = 0.90730 \dots + 2 πn, x = π - 0.90730 \dots + 2 πn

解答ステップ

\frac{sin ( 8 0 ^{\circ} )}{5} = \frac{sin ( x )}{4}

辺を交換する

\frac{sin ( x )}{4} = \frac{sin ( 8 0 ^{\circ} )}{5}

以下で両辺を乗じる:

4

\frac{sin ( x )}{4} = \frac{sin ( 8 0 ^{\circ} )}{5}

以下で両辺を乗じる:

4

\frac{4 sin ( x )}{4} = \frac{4 sin ( 8 0 ^{\circ} )}{5}

簡素化

sin (x) = \frac{4 sin ( 8 0 ^{\circ} )}{5}

sin (x) = \frac{4 sin ( 8 0 ^{\circ} )}{5}

三角関数の逆数プロパティを適用する

sin (x) = \frac{4 sin ( 8 0 ^{\circ} )}{5}

以下の一般解

sin (x) = \frac{4 sin ( 8 0 ^{\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 ( 8 0 ^{\circ} )}{5}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{4 sin ( 8 0 ^{\circ} )}{5}) + 36 0^{\circ} n

x = arcsin (\frac{4 sin ( 8 0 ^{\circ} )}{5}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{4 sin ( 8 0 ^{\circ} )}{5}) + 36 0^{\circ} n

10進法形式で解を証明する

x = 0.90730 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.90730 \dots + 36 0^{\circ} n

グラフ

人気の例

2sin(2x)+1=0,0<= x<= 2pi

2 sin (2 x) + 1 = 0, 0 \leq x \leq 2 π

2 cos (θ) + 3 = 0

sin (x) + 2 = 0

2 sin (x) = 3

3sin^2(θ)-6cos(θ)-3=-4cos(θ)

3 sin^{2} (θ) - 6 cos (θ) - 3 = - 4 cos (θ)