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Chapter 6: Q 25. (page 381)

Find the exact value. Do not use a calculator.

csc11蟺2

Short Answer

Expert verified

The exact value ofcsc11蟺2=-1

Step by step solution

01

 Step 1. Given information

csc11蟺2

02

Step 2. Unit Circle:

Rotateanticlockwisetoform11蟺2anglewiththepositivex-axis.Thecsc11蟺2equalsthe1y-coordinate(-1)ofthepointofintersection(0,-1)ofunitcircle.

03

Step 3. Final Result

csc11蟺2=1y-coordinate=1-1=-1csc11蟺2=-1

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