Question

Using a Calculator Use a calculator to evaluate the expression. Round your answer to five decimal places.

(a)$\mathit{s}\mathit{e}\mathit{c}{\mathbf{31}}^{\mathbf{\circ }}$

(b)$\mathit{t}\mathit{a}\mathit{n}{\mathbf{51}}^{\mathbf{\circ }}$

Short answer

(a)$\mathit{s}\mathit{e}\mathit{c}\mathbf{}{\mathbf{31}}^{\mathbf{°}}\mathbf{\approx }\mathbf{1}\mathbf{.093204}$

(b)$\mathit{t}\mathit{a}\mathit{n}\mathbf{}{\mathbf{51}}^{\mathbf{°}}\mathbf{\approx }\mathbf{0}\mathbf{.903086149}$

Step-by-step solution

a. Step 1. Given  information

$\begin{array}{l}Given:\sec {31}^{\circ }\\ Tofind:Valueof\sec {31}^{\circ }uptofivedecimalplaces\\ Here,wewillusethecalculatortofindthevalue.\end{array}$

a. Step 2. Finding the value of sec31∘

$\begin{array}{l}Wehave\sec {31}^{°}\\ Byusingcalculator,weget\\ \sec {31}^{°}\approx 1.093204\\ \approx 1.0932\end{array}$

b. Step 1. Given information

$\begin{array}{l}Given:\tan {51}^{\circ }\\ Tofind:Valueof\tan {51}^{\circ }uptofivedecimalplaces\\ Here,wewillusethecalculatortofindthevalue.\end{array}$

b. Step 2. Finding the value of tan 51∘

$\begin{array}{l}Wehave\tan {51}^{°}\\ Byusingcalculator,weget\\ \tan {51}^{°}\approx 0.903086149\\ \approx 0.90308\end{array}$