What is the general solution for sin(t)= 1/8 ?

The general solution for sin(t)= 1/8 is t=0.12532…+2pin,t=pi-0.12532…+2pin

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sin(t)= 1/8

sin (t) = \frac{1}{8}

t = 0.12532 \dots + 2 πn, t = π - 0.12532 \dots + 2 πn

Degrees

t = 7.18075 \dots^{\circ} + 36 0^{\circ} n, t = 172.81924 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (t) = \frac{1}{8}

Apply trig inverse properties

sin (t) = \frac{1}{8}

General solutions for

sin (t) = \frac{1}{8}

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

t = arcsin (\frac{1}{8}) + 2 πn, t = π - arcsin (\frac{1}{8}) + 2 πn

t = arcsin (\frac{1}{8}) + 2 πn, t = π - arcsin (\frac{1}{8}) + 2 πn

Show solutions in decimal form

t = 0.12532 \dots + 2 πn, t = π - 0.12532 \dots + 2 πn

sin (θ) - 0.2 \cdot cos (θ) = 0.48979

1 = 1 + 3 sin (3 θ)

cos (\frac{θ}{4}) = \frac{2}{2}

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

cosh (x) + 4 sinh (x) + 2 = 0

What is the general solution for sin(t)= 1/8 ?
The general solution for sin(t)= 1/8 is t=0.12532…+2pin,t=pi-0.12532…+2pin