What is the general solution for sin(x)= 5/14 ?

The general solution for sin(x)= 5/14 is x=0.36520…+2pin,x=pi-0.36520…+2pin

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sin(x)= 5/14

sin (x) = \frac{5}{14}

x = 0.36520 \dots + 2 πn, x = π - 0.36520 \dots + 2 πn

Degrees

x = 20.92483 \dots^{\circ} + 36 0^{\circ} n, x = 159.07516 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{5}{14}

Apply trig inverse properties

sin (x) = \frac{5}{14}

General solutions for

sin (x) = \frac{5}{14}

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

x = arcsin (\frac{5}{14}) + 2 πn, x = π - arcsin (\frac{5}{14}) + 2 πn

x = arcsin (\frac{5}{14}) + 2 πn, x = π - arcsin (\frac{5}{14}) + 2 πn

Show solutions in decimal form

x = 0.36520 \dots + 2 πn, x = π - 0.36520 \dots + 2 πn

tan (2 θ) = - \frac{280}{\frac{( 0 - 0 )}{2}}

4 sin (x) + 1 = 0

cos^{2} (x) + cos^{2} (30) + cos^{2} (75) = 1

\frac{sin ( 1.3785 )}{70} = \frac{sin ( a )}{7}

cos^{2} (x) - 6 cos (x) - 7 = 0

What is the general solution for sin(x)= 5/14 ?
The general solution for sin(x)= 5/14 is x=0.36520…+2pin,x=pi-0.36520…+2pin