7. Use a calculator to determine $$ heta $$ to the nearest degree. $$ \begin{array}{lll} ext { a) } \cos heta=0.6820 & ext { b) } an heta=0.1944 & ext { c) } \sin heta=0.9848\end{array} $$

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7. Use a calculator to determine $$ 	heta $$ to the nearest degree. $$ \begin{array}{lll}	ext { a) } \cos 	heta=0.6820 & 	ext { b) } 	an 	heta=0.1944 & 	ext { c) } \sin 	heta=0.9848\end{array} $$

UpStudy AI · Accepted Answer

To find $$ \theta $$ for each case, we will use the inverse trigonometric functions on a calculator.

### a) $$ \cos \theta = 0.6820 $$

To find $$ \theta $$, we use the inverse cosine function:

$$
\theta = \cos^{-1}(0.6820)
$$

Using a calculator, we find:

$$
\theta \approx 47^\circ
$$

### b) $$ \tan \theta = 0.1944 $$

To find $$ \theta $$, we use the inverse tangent function:

$$
\theta = \tan^{-1}(0.1944)
$$

Using a calculator, we find:

$$
\theta \approx 11^\circ
$$

### c) $$ \sin \theta = 0.9848 $$

To find $$ \theta $$, we use the inverse sine function:

$$
\theta = \sin^{-1}(0.9848)
$$

Using a calculator, we find:

$$
\theta \approx 80^\circ
$$

### Summary of Results:
- a) $$ \theta \approx 47^\circ $$
- b) $$ \theta \approx 11^\circ $$
- c) $$ \theta \approx 80^\circ $$
a) $$ \theta \approx 47^\circ $$ b) $$ \theta \approx 11^\circ $$ c) $$ \theta \approx 80^\circ $$

7. Use a calculator to determine \( \theta \) to the nearest degree. \( \begin{array}{lll}\text { a) } \cos \theta=0.6820 & \text { b) } \tan \theta=0.1944 & \text { c) } \sin \theta=0.9848\end{array} \)

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