What is the general solution for sin(x)=(2.5)/5 ?

The general solution for sin(x)=(2.5)/5 is x=0.52359…+2pin,x=pi-0.52359…+2pin

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sin(x)=(2.5)/5

sin (x) = \frac{2.5}{5}

x = 0.52359 \dots + 2 πn, x = π - 0.52359 \dots + 2 πn

Solution steps

sin (x) = \frac{2.5}{5}

Apply trig inverse properties

x = arcsin (\frac{2.5}{5}) + 2 πn, x = π - arcsin (\frac{2.5}{5}) + 2 πn

Show solutions in decimal form

x = 0.52359 \dots + 2 πn, x = π - 0.52359 \dots + 2 πn

3 cos^{2} (x) = 0

tan (4 x) = 2 tan (2 x)

sec (x) - 4 = - sec (x)

5 cos (x) = \frac{1}{cos ( x )}

(tan (x) + 1) (2 sin (x) - 3) = 0

What is the general solution for sin(x)=(2.5)/5 ?
The general solution for sin(x)=(2.5)/5 is x=0.52359…+2pin,x=pi-0.52359…+2pin