Question

Does anyone know the answer to this? Algebra 2

Answer 1

Answer:

Step-by-step explanation:

Sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

If, sinθ = -$\frac{1}{2}$ and π < θ < $\frac{3\pi }{2}$

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°) = $-\frac{\sqrt{3} }{2}$

tan(210°) = $\frac{1}{\sqrt{3} }$

csc(210°) = $-\frac{1}{2}$

sec(210°) = $-\frac{2}{\sqrt{3} }$

cot(210°) = √3