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人気のある三角関数 >

(sin(70))/(25)=(sin(c))/(26)

解

\frac{sin ( 7 0 ^{\circ} )}{25} = \frac{sin ( c )}{26}

解

c = 1.35722 \dots + 36 0^{\circ} n, c = 18 0^{\circ} - 1.35722 \dots + 36 0^{\circ} n

+1

ラジアン

c = 1.35722 \dots + 2 πn, c = π - 1.35722 \dots + 2 πn

解答ステップ

\frac{sin ( 7 0 ^{\circ} )}{25} = \frac{sin ( c )}{26}

辺を交換する

\frac{sin ( c )}{26} = \frac{sin ( 7 0 ^{\circ} )}{25}

以下で両辺を乗じる:

26

\frac{sin ( c )}{26} = \frac{sin ( 7 0 ^{\circ} )}{25}

以下で両辺を乗じる:

26

\frac{26 sin ( c )}{26} = \frac{26 sin ( 7 0 ^{\circ} )}{25}

簡素化

sin (c) = \frac{26 sin ( 7 0 ^{\circ} )}{25}

sin (c) = \frac{26 sin ( 7 0 ^{\circ} )}{25}

三角関数の逆数プロパティを適用する

sin (c) = \frac{26 sin ( 7 0 ^{\circ} )}{25}

以下の一般解

sin (c) = \frac{26 sin ( 7 0 ^{\circ} )}{25}

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

c = arcsin (\frac{26 sin ( 7 0 ^{\circ} )}{25}) + 36 0^{\circ} n, c = 18 0^{\circ} - arcsin (\frac{26 sin ( 7 0 ^{\circ} )}{25}) + 36 0^{\circ} n

c = arcsin (\frac{26 sin ( 7 0 ^{\circ} )}{25}) + 36 0^{\circ} n, c = 18 0^{\circ} - arcsin (\frac{26 sin ( 7 0 ^{\circ} )}{25}) + 36 0^{\circ} n

10進法形式で解を証明する

c = 1.35722 \dots + 36 0^{\circ} n, c = 18 0^{\circ} - 1.35722 \dots + 36 0^{\circ} n

グラフ

人気の例

1.25sin(30)=1.5sin(x)

1.25 sin (3 0^{\circ}) = 1.5 sin (x)

sqrt(3)sin(3x)+3cos(3x)=0

3 sin (3 x) + 3 cos (3 x) = 0

tan(θ)=-4/5 , pi/2 <θ<pi

tan (θ) = - \frac{4}{5}, \frac{π}{2} < θ < π

cos(2x)=sin(x),0<= x<2pi

cos (2 x) = sin (x), 0 \leq x < 2 π

229cos(a)+14715sin(a)=3959.55

229 cos (a) + 14715 sin (a) = 3959.55