What is the general solution for sin(x)= 2/7 ?

The general solution for sin(x)= 2/7 is x=0.28975…+2pin,x=pi-0.28975…+2pin

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sin(x)= 2/7

sin (x) = \frac{2}{7}

x = 0.28975 \dots + 2 πn, x = π - 0.28975 \dots + 2 πn

Degrees

x = 16.60154 \dots^{\circ} + 36 0^{\circ} n, x = 163.39845 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{2}{7}

Apply trig inverse properties

sin (x) = \frac{2}{7}

General solutions for

sin (x) = \frac{2}{7}

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

x = arcsin (\frac{2}{7}) + 2 πn, x = π - arcsin (\frac{2}{7}) + 2 πn

x = arcsin (\frac{2}{7}) + 2 πn, x = π - arcsin (\frac{2}{7}) + 2 πn

Show solutions in decimal form

x = 0.28975 \dots + 2 πn, x = π - 0.28975 \dots + 2 πn

sin (θ) cos (θ) + sin (θ) = 0

6 cos^{2} (x) - cos (x) - 1 = 0

45.6 = arcsin (\frac{n ^{1}}{n ^{2}}), n^{1}

tan (x) = 0.839

sin (\frac{3 ( π - x )}{2}) = 0

What is the general solution for sin(x)= 2/7 ?
The general solution for sin(x)= 2/7 is x=0.28975…+2pin,x=pi-0.28975…+2pin