Chapter 7: Q. 10 (page 505)

Use a calculator to evaluate the expression $c o t^{- 1} 5$ . Express angles in radians rounded to two decimal places.

Short Answer

Expert verified

$c o t^{- 1} 5 \approx 0.20$

Step by step solution

Step 1. Given Information

given a trignometric expression

c o t^{- 1} 5

Step 2. Rewriting the expression

Let's assume that

$θ = c o t^{- 1} 5 t h e n, c o t θ = 5 w h e r e 0 < θ < π$

Step 3. Calculations

We know that

$c o t θ = \frac{1}{\tan θ} = 5 \tan θ = \frac{1}{5} θ = \tan^{- 1} (\frac{1}{5})$

Now we have to use the calculator to find

$θ = \tan^{- 1} (\frac{1}{5}) θ = 11.309932474 °$

Step 4. Converting the angle into radians

$θ = 11.309932474 ° θ = 11.309932474 ° (\frac{π}{180}) = 0.1973955598 \approx 0.20$

Hence,

$c o t^{- 1} 5 \approx 0.20$

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Use a calculator to evaluate the expression $c o t^{- 1} 5$ . Express angles in radians rounded to two decimal places.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Rewriting the expression

Step 3. Calculations

Step 4. Converting the angle into radians

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Short Answer

Step by step solution

Step 1. Given Information

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Use a calculator to evaluate the expression $c o t^{- 1} 5$ . Express angles in radians rounded to two decimal places.