What is the general solution for sin(t)=-4/5 ?

The general solution for sin(t)=-4/5 is t=-0.92729…+2pin,t=pi+0.92729…+2pin

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sin(t)=-4/5

sin (t) = - \frac{4}{5}

t = - 0.92729 \dots + 2 πn, t = π + 0.92729 \dots + 2 πn

Degrees

t = - 53.13010 \dots^{\circ} + 36 0^{\circ} n, t = 233.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (t) = - \frac{4}{5}

Apply trig inverse properties

sin (t) = - \frac{4}{5}

General solutions for

sin (t) = - \frac{4}{5}

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

t = arcsin (- \frac{4}{5}) + 2 πn, t = π + arcsin (\frac{4}{5}) + 2 πn

t = arcsin (- \frac{4}{5}) + 2 πn, t = π + arcsin (\frac{4}{5}) + 2 πn

Show solutions in decimal form

t = - 0.92729 \dots + 2 πn, t = π + 0.92729 \dots + 2 πn

What is the general solution for sin(t)=-4/5 ?
The general solution for sin(t)=-4/5 is t=-0.92729…+2pin,t=pi+0.92729…+2pin