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人気のある三角関数 >

1sin(54.86)=2.451sin(x)

解

1 \cdot sin (54.8 6^{\circ}) = 2.451 \cdot sin (x)

解

x = 0.34016 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.34016 \dots + 36 0^{\circ} n

+1

ラジアン

x = 0.34016 \dots + 2 πn, x = π - 0.34016 \dots + 2 πn

解答ステップ

1 \cdot sin (54.8 6^{\circ}) = 2.451 sin (x)

辺を交換する

2.451 sin (x) = 1 \cdot sin (54.8 6^{\circ})

乗算:

1 \cdot sin (54.8 6^{\circ}) = sin (54.8 6^{\circ})

2.451 sin (x) = sin (54.8 6^{\circ})

以下で両辺を割る

2.451

2.451 sin (x) = sin (54.8 6^{\circ})

以下で両辺を割る

2.451

\frac{2.451 sin ( x )}{2.451} = \frac{sin ( 54.8 6 ^{\circ} )}{2.451}

簡素化

sin (x) = \frac{sin ( 54.8 6 ^{\circ} )}{2.451}

sin (x) = \frac{sin ( 54.8 6 ^{\circ} )}{2.451}

三角関数の逆数プロパティを適用する

sin (x) = \frac{sin ( 54.8 6 ^{\circ} )}{2.451}

以下の一般解

sin (x) = \frac{sin ( 54.8 6 ^{\circ} )}{2.451}

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

x = arcsin (\frac{sin ( 54.8 6 ^{\circ} )}{2.451}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{sin ( 54.8 6 ^{\circ} )}{2.451}) + 36 0^{\circ} n

x = arcsin (\frac{sin ( 54.8 6 ^{\circ} )}{2.451}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{sin ( 54.8 6 ^{\circ} )}{2.451}) + 36 0^{\circ} n

10進法形式で解を証明する

x = 0.34016 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.34016 \dots + 36 0^{\circ} n

グラフ

人気の例

(cot(θ))/(csc(θ))=sin(θ)

\frac{cot ( θ )}{csc ( θ )} = sin (θ)

cos (t) = - \frac{2}{3}

0 = 4 cos (4 x)

tan(θ)= 8/7 ,pi<θ<(3pi)/2

tan (θ) = \frac{8}{7}, π < θ < \frac{3 π}{2}

csc(θ)sin(θ)=cot(θ)

csc (θ) sin (θ) = cot (θ)