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人気のある三角関数 >

(sin(74))/8 =(sin(x))/4

解

\frac{sin ( 7 4 ^{\circ} )}{8} = \frac{sin ( x )}{4}

解

x = 0.50137 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.50137 \dots + 36 0^{\circ} n

+1

ラジアン

x = 0.50137 \dots + 2 πn, x = π - 0.50137 \dots + 2 πn

解答ステップ

\frac{sin ( 7 4 ^{\circ} )}{8} = \frac{sin ( x )}{4}

辺を交換する

\frac{sin ( x )}{4} = \frac{sin ( 7 4 ^{\circ} )}{8}

以下で両辺を乗じる:

4

\frac{sin ( x )}{4} = \frac{sin ( 7 4 ^{\circ} )}{8}

以下で両辺を乗じる:

4

\frac{4 sin ( x )}{4} = \frac{4 sin ( 7 4 ^{\circ} )}{8}

簡素化

sin (x) = \frac{sin ( 7 4 ^{\circ} )}{2}

sin (x) = \frac{sin ( 7 4 ^{\circ} )}{2}

三角関数の逆数プロパティを適用する

sin (x) = \frac{sin ( 7 4 ^{\circ} )}{2}

以下の一般解

sin (x) = \frac{sin ( 7 4 ^{\circ} )}{2}

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 ( 7 4 ^{\circ} )}{2}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{sin ( 7 4 ^{\circ} )}{2}) + 36 0^{\circ} n

x = arcsin (\frac{sin ( 7 4 ^{\circ} )}{2}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{sin ( 7 4 ^{\circ} )}{2}) + 36 0^{\circ} n

10進法形式で解を証明する

x = 0.50137 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.50137 \dots + 36 0^{\circ} n

グラフ

人気の例

(cos(x))/(cot(x))=sec(x)

\frac{cos ( x )}{cot ( x )} = sec (x)

sin (x) = - 0.61

cos(2x)-sin(-x)=0

cos (2 x) - sin (- x) = 0

6cos^2(x)+cos(2x)=1

6 cos^{2} (x) + cos (2 x) = 1

sin (2 π t) = 1