What is the general solution for (3sqrt(3))/(14)=sin(x) ?

The general solution for (3sqrt(3))/(14)=sin(x) is x=0.38025…+2pin,x=pi-0.38025…+2pin

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(3sqrt(3))/(14)=sin(x)

\frac{3 3}{14} = sin (x)

x = 0.38025 \dots + 2 πn, x = π - 0.38025 \dots + 2 πn

Degrees

x = 21.78678 \dots^{\circ} + 36 0^{\circ} n, x = 158.21321 \dots^{\circ} + 36 0^{\circ} n

Solution steps

\frac{3 3}{14} = sin (x)

Switch sides

sin (x) = \frac{3 3}{14}

Apply trig inverse properties

sin (x) = \frac{3 3}{14}

General solutions for

sin (x) = \frac{3 3}{14}

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

x = arcsin (\frac{3 3}{14}) + 2 πn, x = π - arcsin (\frac{3 3}{14}) + 2 πn

x = arcsin (\frac{3 3}{14}) + 2 πn, x = π - arcsin (\frac{3 3}{14}) + 2 πn

Show solutions in decimal form

x = 0.38025 \dots + 2 πn, x = π - 0.38025 \dots + 2 πn

6 cos (x) = 2 + 2 cos (x)

cosh (z) = 1, cosh (z) = - 2

tan (2 x) = \frac{- 3}{3}

x, - 4 cos (x) = - sin^{2} (x) + 4

5 cos (c) + 23 = 0

What is the general solution for (3sqrt(3))/(14)=sin(x) ?
The general solution for (3sqrt(3))/(14)=sin(x) is x=0.38025…+2pin,x=pi-0.38025…+2pin