Question

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

(a)$\mathit{c}\mathit{o}\mathit{s}{\mathbf{37}}^{\mathbf{°}}$

(b)$\mathit{c}\mathit{s}\mathit{c}{\mathbf{48}}^{\mathbf{\circ }}$

Short answer

(a).$\mathit{c}\mathit{o}\mathit{s}{\mathbf{37}}^{\mathbf{°}}\mathbf{\approx }\mathbf{0}\mathbf{.79863551}$

(b).$\mathbf{cosec}{\mathbf{48}}^{\mathbf{°}}\mathbf{\approx }\mathbf{1}\mathbf{.34563}$

Step-by-step solution

a. Step 1. Given information.

Given: $\mathrm{Cos}{37}^{\circ }$
To find: Value of $\mathrm{Cos}{37}^{\circ }$up to five decimal places

Here, we will use the calculator to find the value.

a. Step 2. Finding the value of cos37∘.

$\begin{array}{l}\text{Wehave}\cos {37}^{°}\\ \text{By\hspace{0.17em}\hspace{0.17em}using\hspace{0.17em}\hspace{0.17em}calculator,}\\ \text{we\hspace{0.17em}\hspace{0.17em}get\hspace{0.17em}\hspace{0.17em}}\cos {37}^{°}\approx 0.79863551\\ \approx 0.79864\end{array}$

b. Step 1. Given information.

Given:$\mathrm{cosec}{48}^{°}$
To find: Value of $\mathrm{cosec}{48}^{°}$up to five decimal places

Here, we will use the calculator to find the value.

b. Step 2. Finding the value of csc 48∘

$\begin{array}{l}\text{We\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}have\hspace{0.17em}\hspace{0.17em}cosec}{48}^{°}\\ \text{By\hspace{0.17em}\hspace{0.17em}using\hspace{0.17em}\hspace{0.17em}calculator,}\\ \text{we\hspace{0.17em}\hspace{0.17em}get\hspace{0.17em}\hspace{0.17em}}\mathrm{cosec}{48}^{°}\approx 1.34563\\ \approx 1.34560\end{array}$