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Chapter 6: Q. 43 (page 381)

Find the exact value of each expression. Do not use a calculator.

2sec蟺4+4cot蟺3

Short Answer

Expert verified

The exact value of the given expression is 22+433.

Step by step solution

01

Step 1. Given information.

The given expression is:

2sec蟺4+4cot蟺3

02

Step 2. Determine the exact value.

In the trigonometric table sec蟺4=2and cot蟺3=13. Substitute these values in the given expression.

2sec蟺4+4cot蟺3=22+413=22+43=22+433

03

Step 3. Conclusion.

The exact value of the given expression is 22+433.

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