Select all the solutions of the given equation for 0° < θ < 360°.
secθsinθ - 2sinθ = 0
*There can be more than 1 answer
a. 60
b. 90
c. 120
d. 180
e. 240
f. 300
secθsinθ - 2sinθ = 0
*There can be more than 1 answer
a. 60
b. 90
c. 120
d. 180
e. 240
f. 300
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secθsinθ - 2sinθ = 0
sinθ(secθ - 2) = 0
Set each factor to zero to find solutions.
sinθ = 0
sinθ = 0 at 0°, 180°
(secθ - 2) = 0
secθ = 2
sec(θ) = 1/cos(θ)
Then: cosθ = 1/2
cosθ = 1/2
cosθ = 1/2 at 60°, 300°
Over the given interval, the correct answers are a, d and f.
sinθ(secθ - 2) = 0
Set each factor to zero to find solutions.
sinθ = 0
sinθ = 0 at 0°, 180°
(secθ - 2) = 0
secθ = 2
sec(θ) = 1/cos(θ)
Then: cosθ = 1/2
cosθ = 1/2
cosθ = 1/2 at 60°, 300°
Over the given interval, the correct answers are a, d and f.