Answer:
Step-by-step explanation:
Sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
If, sinθ = -[tex]\frac{1}{2}[/tex] and π < θ < [tex]\frac{3\pi }{2}[/tex]
Since, sinθ is negative, angle θ will be in IIIrd quadrant.
And the measure of angle θ will be (180° + 30°)
θ = 210°
It's necessary to remember that tangent and cotangent of angle θ in quadrant III are positive.
Therefore, cos(210°) = [tex]-\frac{\sqrt{3} }{2}[/tex]
tan(210°) = [tex]\frac{1}{\sqrt{3} }[/tex]
csc(210°) = [tex]-\frac{1}{2}[/tex]
sec(210°) = [tex]-\frac{2}{\sqrt{3} }[/tex]
cot(210°) = √3