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If sin -1 2 for 0 lt lt 360o the value of is - JAMB Mathematics 2005 Question

If sin θ = -1/2 for 0 < θ < 360o, the value of θ is
A
30o and 150o
B
150o and 210o
C
210o and 330o
D
150o and 330o
correct option: c

sin θ = -1/2

= -0.5

θ = sin-1 (0.5)

θ = 30o

Since θ is negative

θ = 180 + 30 = 210o

θ = 360 - 30 = 330o

∴θ = 210o and 330o

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