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

Solution steps

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

Apply trig inverse properties

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

x, sin (2 x) = \frac{3}{2}

tan (θ) = \frac{1}{1}

3 cos (C) + 8 = 0

sin (2 x) = \frac{- 2}{2}

1 - cos^{2} (x) = 2 cos (x) + 2

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