What is the general solution for sin(u)= 5/13 ?

The general solution for sin(u)= 5/13 is u=0.39479…+2pin,u=pi-0.39479…+2pin

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sin(u)= 5/13

sin (u) = \frac{5}{13}

u = 0.39479 \dots + 2 πn, u = π - 0.39479 \dots + 2 πn

Degrees

u = 22.61986 \dots^{\circ} + 36 0^{\circ} n, u = 157.38013 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (u) = \frac{5}{13}

Apply trig inverse properties

sin (u) = \frac{5}{13}

General solutions for

sin (u) = \frac{5}{13}

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

u = arcsin (\frac{5}{13}) + 2 πn, u = π - arcsin (\frac{5}{13}) + 2 πn

u = arcsin (\frac{5}{13}) + 2 πn, u = π - arcsin (\frac{5}{13}) + 2 πn

Show solutions in decimal form

u = 0.39479 \dots + 2 πn, u = π - 0.39479 \dots + 2 πn

What is the general solution for sin(u)= 5/13 ?
The general solution for sin(u)= 5/13 is u=0.39479…+2pin,u=pi-0.39479…+2pin