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人気のある三角関数 >

(sin(88))/(26)=(sin(x))/(21)

解

\frac{sin ( 8 8 ^{\circ} )}{26} = \frac{sin ( x )}{21}

解

x = 0.93939 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.93939 \dots + 36 0^{\circ} n

+1

ラジアン

x = 0.93939 \dots + 2 πn, x = π - 0.93939 \dots + 2 πn

解答ステップ

\frac{sin ( 8 8 ^{\circ} )}{26} = \frac{sin ( x )}{21}

辺を交換する

\frac{sin ( x )}{21} = \frac{sin ( 8 8 ^{\circ} )}{26}

以下で両辺を乗じる:

21

\frac{sin ( x )}{21} = \frac{sin ( 8 8 ^{\circ} )}{26}

以下で両辺を乗じる:

21

\frac{21 sin ( x )}{21} = \frac{21 sin ( 8 8 ^{\circ} )}{26}

簡素化

sin (x) = \frac{21 sin ( 8 8 ^{\circ} )}{26}

sin (x) = \frac{21 sin ( 8 8 ^{\circ} )}{26}

三角関数の逆数プロパティを適用する

sin (x) = \frac{21 sin ( 8 8 ^{\circ} )}{26}

以下の一般解

sin (x) = \frac{21 sin ( 8 8 ^{\circ} )}{26}

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

x = arcsin (\frac{21 sin ( 8 8 ^{\circ} )}{26}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{21 sin ( 8 8 ^{\circ} )}{26}) + 36 0^{\circ} n

x = arcsin (\frac{21 sin ( 8 8 ^{\circ} )}{26}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{21 sin ( 8 8 ^{\circ} )}{26}) + 36 0^{\circ} n

10進法形式で解を証明する

x = 0.93939 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.93939 \dots + 36 0^{\circ} n

グラフ

人気の例

tan (x) = \frac{62}{21}

39.2sin(x)=22.07

39.2 sin (x) = 22.07

tan (X) = 9.5144

cos(u)=(3pi)/4 ,sin(2u)

cos (u) = \frac{3 π}{4}, sin (2 u)

cos(x)=(-1/2 (0.5)(9))/((0.8)(0.5)(9.8))

cos (x) = \frac{- \frac{1}{2} ( 0.5 ) ( 9 )}{( 0.8 ) ( 0.5 ) ( 9.8 )}