and 180 < Θ < 270 °, find tan Θ
answer choices:
a. -4/3
b. 3/4
c. 4/3
d. -4/5
e8q2
cosecθ = -5/4
=> 1/sinθ = -5/4
=> sinθ = -4/5
so, cosθ = -3/5 as cosθ < 0 for 180° < θ < 270°
And, tanθ = sinθ/cosθ = (-4/5)/(-3/5)
i.e. tanθ = -4/-3 = 4/3
:)>
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Verified answer
cosecθ = -5/4
=> 1/sinθ = -5/4
=> sinθ = -4/5
so, cosθ = -3/5 as cosθ < 0 for 180° < θ < 270°
And, tanθ = sinθ/cosθ = (-4/5)/(-3/5)
i.e. tanθ = -4/-3 = 4/3
:)>