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

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

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sin(t)= 5/13

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

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

Degrees

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

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

Show solutions in decimal form

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

sin (x) = - \frac{7}{4}

cos^{2} (x) = 4 (1 + sin (x))

sin (x) + 2 = tan (x)

- 2 sin (\frac{θ}{2}) = 0

cos^{3} (θ) + cos^{2} (θ) - cos (θ) - 1 = 0

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