Understanding Inverse Tangent

The video tutorial explains how to find an angle whose tangent value is 0.875 using a calculator. It clarifies the difference between finding the tangent of an angle and finding an angle with a given tangent value. The tutorial introduces the inverse tangent function, also known as arc tangent, and demonstrates how to use both traditional and graphing calculators to find the angle, which is approximately 41 degrees when rounded to the nearest degree.

What is the main task described in the video?

• Finding the tangent of 0.875

• Finding an angle with a tangent of 0.875

• Calculating the sine of 0.875

• Determining the cosine of 0.875

What is the angle called that we are trying to find?

• Gamma

• Theta

• Beta

• Alpha

Which function is used to find an angle from its tangent value?

• Exponential function

• Cosine function

• Inverse tangent function

• Sine function

What is another name for the inverse tangent function?

• Arc sine function

• Arc cosine function

• Arc cotangent function

• Arc tangent function

What mode should the calculator be in to return an angle in degrees?

• Graphing mode

• Scientific mode

• Degree mode

• Radian mode

What button is used on a traditional calculator to access inverse functions?

• Mode button

• Shift button

• Inverse button

• Reciprocal button

What is the approximate angle in degrees when the tangent is 0.875?

• 30 degrees

• 41 degrees

• 50 degrees

• 60 degrees

How is the inverse tangent function represented on a graphing calculator?

• sin^-1

• cot^-1

• tan^-1

• cos^-1

What key combination is used to access the inverse tangent function on a graphing calculator?

• Fourth and then tan

• Second and then tan

• First and then tan

• Third and then tan

What is the result when rounding the angle to the nearest degree?

• 43 degrees

• 41 degrees

• 40 degrees

• 42 degrees