2005
Mathematics
JAMB
If sin θ = -1/2 for 0 < θ < 360°, the value of θ is
A.
30° and 150°
B.
150° and 210°
C.
210° and 330°
D.
150° and 330°
Correct Answer: 210° and 330°
Explanation
sin θ = -1/2 = -0.5 θ = sin-1 (0.5) θ = 30° Since θ is negative θ = 180 + 30 = 210° θ = 360 - 30 = 330° ∴θ = 210° and 330°
sin θ = -1/2 = -0.5 θ = sin-1 (0.5) θ = 30° Since θ is negative θ = 180 + 30 = 210° θ = 360 - 30 = 330° ∴θ = 210° and 330°THIS WEEK's
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