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Chapter 7: Q. 10 (page 505)

Use a calculator to evaluate the expressioncot-15. Express angles in radians rounded to two decimal places.

Short Answer

Expert verified

cot-15鈮�0.20

Step by step solution

01

Step 1. Given Information

given a trignometric expression

cot-15
02

Step 2. Rewriting the expression 

Let's assume that

胃=cot-15then,cot胃=5where0<胃<蟺

03

Step 3. Calculations

We know that

cot胃=1tan胃=5tan胃=15胃=tan-1(15)

Now we have to use the calculator to find

胃=tan-115胃=11.309932474掳

04

Step 4. Converting the angle into radians

胃=11.309932474掳胃=11.309932474掳蟺180=0.1973955598鈮�0.20

Hence,

cot-15鈮�0.20

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