What is the general solution for sin(x)= 19/50 ?

The general solution for sin(x)= 19/50 is x=0.38979…+2pin,x=pi-0.38979…+2pin

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sin(x)= 19/50

sin (x) = \frac{19}{50}

x = 0.38979 \dots + 2 πn, x = π - 0.38979 \dots + 2 πn

Solution steps

sin (x) = \frac{19}{50}

Apply trig inverse properties

x = arcsin (\frac{19}{50}) + 2 πn, x = π - arcsin (\frac{19}{50}) + 2 πn

Show solutions in decimal form

x = 0.38979 \dots + 2 πn, x = π - 0.38979 \dots + 2 πn

5 sin (2 x - \frac{π}{2}) = 0.5

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

3 - 3 cos (5 x) = 3 cos (5 x)

6 tan^{2} (θ) + 11 tan (θ) = 4 tan (θ) - 2

\frac{1}{1 - cos ( x )} + \frac{1}{1 + cos ( x )} = 2 sec^{2} (x)

What is the general solution for sin(x)= 19/50 ?
The general solution for sin(x)= 19/50 is x=0.38979…+2pin,x=pi-0.38979…+2pin