Use the ALEKS calculator to evaluate each expression.Round your answers to the nearest hundredth.tan10° = cos81° = sin55° =

1. Break Down the Problem

We need to evaluate three trigonometric expressions: $\tan(10^\circ)$, $\cos(81^\circ)$, and $\sin(55^\circ)$. Each value will be rounded to the nearest hundredth.

2. Relevant Concepts

The relevant concepts involve the properties of trigonometric functions, where we will use:

• $\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$
• The calculations for cosine and sine functions.

3. Analysis and Detail

1. Calculate $\tan(10^\circ)$:

   • Using a calculator, we find: $\tan(10^\circ) \approx 0.1763$
   • Rounding to the nearest hundredth gives: $\tan(10^\circ) \approx 0.18$

2. Calculate $\cos(81^\circ)$:

   • Using a calculator, we find: $\cos(81^\circ) \approx 0.1564$
   • Rounding to the nearest hundredth gives: $\cos(81^\circ) \approx 0.16$

3. Calculate $\sin(55^\circ)$:

   • Using a calculator, we find: $\sin(55^\circ) \approx 0.8192$
   • Rounding to the nearest hundredth gives: $\sin(55^\circ) \approx 0.82$

4. Verify and Summarize

The calculations have been checked using a scientific calculator, and rounding has been applied correctly to each expression.

Final Answer

$\tan(10^\circ) \approx 0.18, \quad \cos(81^\circ) \approx 0.16, \quad \sin(55^\circ) \approx 0.82$