What is the general solution for (sin(88))/(26)=(sin(x))/(21) ?

The general solution for (sin(88))/(26)=(sin(x))/(21) is x=0.93939…+360n,x=180-0.93939…+360n

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

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

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

Radians

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

Solution steps

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

Switch sides

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

Multiply both sides by

21

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

Multiply both sides by

21

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

Simplify

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

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

Apply trig inverse properties

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

General solutions for

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

Show solutions in decimal form

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

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

39.2 sin (x) = 22.07

tan (X) = 9.5144

cos (u) = \frac{3 π}{4}, sin (2 u)

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

What is the general solution for (sin(88))/(26)=(sin(x))/(21) ?
The general solution for (sin(88))/(26)=(sin(x))/(21) is x=0.93939…+360n,x=180-0.93939…+360n