What is the general solution for sin(x)= 15/39 ?

The general solution for sin(x)= 15/39 is x=0.39479…+2pin,x=pi-0.39479…+2pin

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sin(x)= 15/39

sin (x) = \frac{15}{39}

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

Degrees

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

Solution steps

sin (x) = \frac{15}{39}

Cancel the common factor:

3

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

Show solutions in decimal form

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

tan (a) = \frac{40}{12.5}

csc (θ) = 1.3127

2 cos^{2} (X) = 1 - sin (X)

y, x = cot (y) + tan (x)

sin (θ) - 0.2 cos (θ) = \frac{8.54}{9.8}

What is the general solution for sin(x)= 15/39 ?
The general solution for sin(x)= 15/39 is x=0.39479…+2pin,x=pi-0.39479…+2pin