Question

use the aleks calculator to evaluate each expression. round your answers to the nearest hundredth.
cos67° = □
tan47° = □
sin32° = □

Explanation:

Step1: Calculate $\cos 67^\circ$

Using a calculator (in degree mode), we find $\cos 67^\circ\approx0.3907$. Rounding to the nearest hundredth, we look at the thousandth place (7), which is greater than 5, so we round up the hundredth place. So $\cos 67^\circ\approx0.39$.

Step2: Calculate $\tan 47^\circ$

Using a calculator (in degree mode), we find $\tan 47^\circ\approx1.0724$. Rounding to the nearest hundredth, we look at the thousandth place (2), which is less than 5, so we keep the hundredth place as is. So $\tan 47^\circ\approx1.07$.

Step3: Calculate $\sin 32^\circ$

Using a calculator (in degree mode), we find $\sin 32^\circ\approx0.5299$. Rounding to the nearest hundredth, we look at the thousandth place (9), which is greater than 5, so we round up the hundredth place. So $\sin 32^\circ\approx0.53$.

Answer:

$\cos 67^\circ \approx \boldsymbol{0.39}$, $\tan 47^\circ \approx \boldsymbol{1.07}$, $\sin 32^\circ \approx \boldsymbol{0.53}$