What is the general solution for sin(x)=(4.4sin(119))/(12.3) ?

The general solution for sin(x)=(4.4sin(119))/(12.3) is x=0.31821…+360n,x=180-0.31821…+360n

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sin(x)=(4.4sin(119))/(12.3)

sin (x) = \frac{4.4 sin ( 11 9 ^{\circ} )}{12.3}

x = 0.31821 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.31821 \dots + 36 0^{\circ} n

Solution steps

sin (x) = \frac{4.4 sin ( 11 9 ^{\circ} )}{12.3}

Apply trig inverse properties

x = arcsin (\frac{4.4 sin ( 11 9 ^{\circ} )}{12.3}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{4.4 sin ( 11 9 ^{\circ} )}{12.3}) + 36 0^{\circ} n

Show solutions in decimal form

x = 0.31821 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.31821 \dots + 36 0^{\circ} n

- sec^{2} (x) = 2 tan (x)

3 cot^{2} (x) - 1 = 0

sin (x) \cdot cos (x) = 1

(2 cos^{2} (x) - 1) (4 sin^{2} (x) - 3) = 0

sin^{2} (t) = 1

What is the general solution for sin(x)=(4.4sin(119))/(12.3) ?
The general solution for sin(x)=(4.4sin(119))/(12.3) is x=0.31821…+360n,x=180-0.31821…+360n