SOLUTION: Find two values of &#952;, 0 &#8804; &#952; < 2&#960;, that satisfy the given trigonometric equation.If csc &#952; = &#8722;2

Algebra ->  Trigonometry-basics -> SOLUTION: Find two values of &#952;, 0 &#8804; &#952; < 2&#960;, that satisfy the given trigonometric equation.If csc &#952; = &#8722;2      Log On


   



Question 769015: Find two values of θ, 0 ≤ θ < 2π, that satisfy the given trigonometric equation.If
csc θ = −2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find two values of θ, 0 ≤ θ < 2π, that satisfy the given trigonometric equation.
If csc θ = −2, sin(theta) = -1/2
----
Reference angle is pi/6
----
Since the sin is negative theta is in QIII or QIV.
-----
Theta = p + pi/6 = (7/6)pi
OR
Theta = (2pi)-(pi/6) = (11/6)pi
====================================
Cheers,
Stan H.