What is the general solution for sin(t)= 3/7 ?

The general solution for sin(t)= 3/7 is t=0.44291…+2pin,t=pi-0.44291…+2pin

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sin(t)= 3/7

sin (t) = \frac{3}{7}

t = 0.44291 \dots + 2 πn, t = π - 0.44291 \dots + 2 πn

Degrees

t = 25.37693 \dots^{\circ} + 36 0^{\circ} n, t = 154.62306 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (t) = \frac{3}{7}

Apply trig inverse properties

sin (t) = \frac{3}{7}

General solutions for

sin (t) = \frac{3}{7}

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

t = arcsin (\frac{3}{7}) + 2 πn, t = π - arcsin (\frac{3}{7}) + 2 πn

t = arcsin (\frac{3}{7}) + 2 πn, t = π - arcsin (\frac{3}{7}) + 2 πn

Show solutions in decimal form

t = 0.44291 \dots + 2 πn, t = π - 0.44291 \dots + 2 πn

cos (2 x - 1) = sin (3 x + 6)

\frac{sin ( b )}{300} = \frac{sin ( 4 9 ^{\circ} )}{500}

sin (θ) = cos (2 θ + 6 0^{\circ})

tan (θ) = \frac{- 12}{5}

\frac{1 + tan ( \frac{x}{2} )}{1 - tan ( \frac{x}{2} )} = 4.137131

What is the general solution for sin(t)= 3/7 ?
The general solution for sin(t)= 3/7 is t=0.44291…+2pin,t=pi-0.44291…+2pin