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Chapter 6: Q 23. (page 381)

Find the exact value. Do not use a calculator.

tan(6蟺)

Short Answer

Expert verified

The exact value oftan(6蟺)=0

Step by step solution

01

 Step 1. Given information

tan(6蟺)

02

Step 2. Unit circle

Rotateanticlockwisetoform6蟺anglewiththepositivex-axis.Thetan(6蟺)equalsthey-coordinatex-coordinateofthepointofintersection(1,0)ofunitcircle.

03

Step 3. Final answer

tan(6蟺)=yx=01=0tan(6蟺)=0

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