Problem

Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest hundredth. \[ \begin{array}{l} \tan 56^{\circ}=\square \\ \sin 63^{\circ}=\square \\ \cos 27^{\circ}=\square \end{array} \]

Solution

Step 1 :Convert the given angles from degrees to radians. The conversion formula is \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).

Step 2 :Calculate the tangent of 56 degrees, which is now in radians. The formula for tangent is \(\tan(\text{angle})\).

Step 3 :Calculate the sine of 63 degrees, which is now in radians. The formula for sine is \(\sin(\text{angle})\).

Step 4 :Calculate the cosine of 27 degrees, which is now in radians. The formula for cosine is \(\cos(\text{angle})\).

Step 5 :Round the results of the tangent, sine, and cosine calculations to the nearest hundredth.

Step 6 :Final Answer: \[\begin{array}{l} \tan 56^\circ=\boxed{1.48} \\ \sin 63^\circ=\boxed{0.89} \\ \cos 27^\circ=\boxed{0.89} \end{array}\]

From Solvely APP
Source: https://solvelyapp.com/problems/KMIU6Pu24A/

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