let m(x)=sec x+cot^(-1) x. find m(0.3). round your answer to three decimal places. do not type any spaces in…

let m(x)=sec x+cot^(-1) x. find m(0.3). round your answer to three decimal places. do not type any spaces in your answer.

let m(x)=sec x+cot^(-1) x. find m(0.3). round your answer to three decimal places. do not type any spaces in your answer.

Answer

Explanation:

Step1: Recall secant and arccotangent definitions

We know that $\sec x=\frac{1}{\cos x}$ and we need to find $\sec(0.3)+\cot^{-1}(0.3)$.

Step2: Calculate $\sec(0.3)$

First, find $\cos(0.3)$. Using a calculator, $\cos(0.3)\approx0.955336$. Then $\sec(0.3)=\frac{1}{\cos(0.3)}\approx\frac{1}{0.955336}\approx1.04676$.

Step3: Calculate $\cot^{-1}(0.3)$

Using a calculator in radian - mode, $\cot^{-1}(0.3)\approx1.2793$.

Step4: Find the sum

$m(0.3)=\sec(0.3)+\cot^{-1}(0.3)\approx1.04676 + 1.2793=2.32606\approx2.326$.

Answer:

2.326