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

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

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sin(x)=-3/7

sin (x) = - \frac{3}{7}

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

Solution steps

sin (x) = - \frac{3}{7}

Apply trig inverse properties

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

Show solutions in decimal form

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

7 - 4 cos (θ) = 7

t, x = tan^{2} (t)

sin (x) = 0.8246

cos^{3} (x) + cos (x) = 0

sin (θ) = \frac{1}{3}, cos (θ) = \frac{2 2}{3}

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