28 sin^2-3 sin-1=0

Let x = sinx

then,

28x^2 - 3x - 1 = 0

(7x + 1) (4x - 1) = 0

7x + 1 = 0

7x = -1

x = -1/7

4x - 1 = 0

4x = 1

x = 1/4

Then,

sinx = -1/7

x = pi + 0.1433 = 3.285 rad

x = 2pi - 0.1433 = 6.140 rad

sinx = 1/4

x = 0.253 rad

x = pi - 0.253 = 2.889 rad

Therefore,

x = 0.253, 2.889, 3.285, 6.140

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