What is the general solution for sin(x)= 2/25 ?

The general solution for sin(x)= 2/25 is x=0.08008…+2pin,x=pi-0.08008…+2pin

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sin(x)= 2/25

sin (x) = \frac{2}{25}

x = 0.08008 \dots + 2 πn, x = π - 0.08008 \dots + 2 πn

Degrees

x = 4.58856 \dots^{\circ} + 36 0^{\circ} n, x = 175.41143 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{2}{25}

Apply trig inverse properties

sin (x) = \frac{2}{25}

General solutions for

sin (x) = \frac{2}{25}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{2}{25}) + 2 πn, x = π - arcsin (\frac{2}{25}) + 2 πn

x = arcsin (\frac{2}{25}) + 2 πn, x = π - arcsin (\frac{2}{25}) + 2 πn

Show solutions in decimal form

x = 0.08008 \dots + 2 πn, x = π - 0.08008 \dots + 2 πn

4 + tan (x) = 5 cot (x)

3 (sin (x) - 2) (4 cos (x) - 2) = 0

\frac{sin ( x )}{120} = \frac{sin ( 8 )}{30}

6 cos (θ) = 0

0.175 = 0.34 sin (93.4 t)

What is the general solution for sin(x)= 2/25 ?
The general solution for sin(x)= 2/25 is x=0.08008…+2pin,x=pi-0.08008…+2pin