SOLUTION: Find the exact value of the following expression without using a calculator. csc^2(2theta) if theta=7pi/6

Algebra ->  Trigonometry-basics -> SOLUTION: Find the exact value of the following expression without using a calculator. csc^2(2theta) if theta=7pi/6      Log On


   

Question 703586: Find the exact value of the following expression without using a calculator.
csc^2(2theta) if theta=7pi/6
Answer by nshah11(47) About Me  (Show Source):
You can put this solution on YOUR website!
csc^2(2θ) where θ = 7pi/6
= 1/(sin^2(7pi/3)) = 1/(√3/2)^2 = 4/3