What is the general solution for arcsin(x)=arcsin(2/5)+arcsin(3/5) ?

The general solution for arcsin(x)=arcsin(2/5)+arcsin(3/5) is x=(8+3sqrt(21))/(25)

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arcsin(x)=arcsin(2/5)+arcsin(3/5)

arcsin (x) = arcsin (\frac{2}{5}) + arcsin (\frac{3}{5})

x = \frac{8 + 3 21}{25}

Solution steps

arcsin (x) = arcsin (\frac{2}{5}) + arcsin (\frac{3}{5})

Apply trig inverse properties

x = \frac{8 + 3 21}{25}

3 tan^{2} (x) + tan (x) = 0

tan^{2} (x) - 4 sin (x) + 4 = 0

\frac{1}{sin ( x )} + \frac{1}{cos ( x )} = 0

1 - cos (2 x) = 0

sin (x) = \frac{37}{64}

What is the general solution for arcsin(x)=arcsin(2/5)+arcsin(3/5) ?
The general solution for arcsin(x)=arcsin(2/5)+arcsin(3/5) is x=(8+3sqrt(21))/(25)