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Use the even–odd properties to find the exact value of each expression. Do not use a calculator.

csc(-Ï€3)

Short Answer

Expert verified

The exact value of trigonometric expression is-233.

Step by step solution

01

Step 1. Given Information

Given that the trigonometry expression is csc(-Ï€3).To find the exact value of the expression using even odd property.

02

Step 2. Even odd property

Cosecant is an odd function and it can be defined as,

csc(-θ)=-³¦²õ³¦Î¸=-1²õ¾±²Ôθ=-1y

The point on the circle corresponds to the given angle.

csc(-π3)=-cscπ3=1-y=1-32=-233

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