Chapter 9: Problem 2

Use a scientific calculator to evaluate (a) \(\cos 61^{\circ}\) (b) \(\tan 0.4\) (c) \(\sin 70^{\circ}\) (d) \(\cos 0.7613\) (e) \(\tan 51^{\circ}\) (f) \(\sin 1.2\)

Short Answer

Expert verified

(a) \(\cos 61^{\circ}\) (b) \(\tan 0.4\) (c) \(\sin 70^{\circ}\) (d) \(\cos 0.7613\) (e) \(\tan 51^{\circ}\) (f) \(\sin 1.2\) Answer: (a) \(\cos 61^{\circ} \approx 0.4848\) (b) \(\tan 0.4 \approx 0.4161\) (c) \(\sin 70^{\circ} \approx 0.9397\) (d) \(\cos 0.7613 \approx 0.7223\) (e) \(\tan 51^{\circ} \approx 1.2349\) (f) \(\sin 1.2 \approx 0.9320\)

Step by step solution

Check mode of the calculator

First, check the mode of your calculator to ensure it is set to either degrees or radians, depending on the given angle. For angles in degrees, such as \(61^{\circ}\), the calculator should be in degree mode. For angles in radians, such as \(0.4\), the calculator should be in radian mode.

Evaluate \(\cos 61^{\circ}\)

Make sure your calculator is in degree mode, then input the expression: \(\cos(61^{\circ})\). The result will be approximately \(0.4848\).

Evaluate \(\tan 0.4\)

Set your calculator to radian mode and then input the expression: \(\tan(0.4)\). The result will be approximately \(0.tan 0.4161\).

Evaluate \(\sin 70^{\circ}\)

Switch your calculator back to degree mode and input the expression: \(\sin(70^{\circ})\). The result will be approximately \(0.9397\).

Evaluate \(\cos 0.7613\)

Set your calculator to radian mode and input the expression: \(\cos(0.7613)\). The result will be approximately \(0.7223\).

Evaluate \(\tan 51^{\circ}\)

Switch your calculator back to degree mode, and input the expression: \(\tan(51^{\circ})\). The result will be approximately \(1.2349\).

Evaluate \(\sin 1.2\)

Set your calculator to radian mode and input the expression: \(\sin(1.2)\). The result will be approximately \(0.9320\). In summary: (a) \(\cos 61^{\circ} \approx 0.4848\) (b) \(\tan 0.4 \approx 0.4161\) (c) \(\sin 70^{\circ} \approx 0.9397\) (d) \(\cos 0.7613 \approx 0.7223\) (e) \(\tan 51^{\circ} \approx 1.2349\) (f) \(\sin 1.2 \approx 0.9320\)

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Use a scientific calculator to evaluate (a) \(\cos 61^{\circ}\) (b) \(\tan 0.4\) (c) \(\sin 70^{\circ}\) (d) \(\cos 0.7613\) (e) \(\tan 51^{\circ}\) (f) \(\sin 1.2\)

Short Answer

Step by step solution

Check mode of the calculator

Evaluate \(\cos 61^{\circ}\)

Evaluate \(\tan 0.4\)

Evaluate \(\sin 70^{\circ}\)

Evaluate \(\cos 0.7613\)

Evaluate \(\tan 51^{\circ}\)

Evaluate \(\sin 1.2\)

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