Evaluate the cosine of inverse tangent - free online tutoring

The video tutorial explains how to find the inverse tangent of two, starting with an introduction to the concept and the unit circle. It discusses how tangent can represent different triangles and the constraints of the inverse tangent function. The tutorial then demonstrates calculating the hypotenuse and cosine of a triangle, concluding with an invitation for further questions.

What is the significance of the unit circle in finding the inverse tangent of two?

• It helps in determining the radius of the circle.

• It is used to calculate the hypotenuse.

• It ensures the point lies within the circle.

• It provides a reference for the Y coordinate.

Why must the inverse tangent function be between -π/2 and π/2?

• To restrict the function to the 1st or 4th quadrant.

• To ensure the function is in the 2nd or 3rd quadrant.

• To allow the function to be in any quadrant.

• To limit the function to positive values only.

Which quadrant is suitable for the inverse tangent of two?

• 3rd or 4th quadrant

• 2nd quadrant only

• 1st quadrant only

• 1st or 4th quadrant

How is the hypotenuse calculated for the triangle in this context?

• By adding the squares of the sides and taking the square root.

• By subtracting the squares of the sides.

• By multiplying the sides together.

• By dividing the sides by two.

What is the process of rationalizing the denominator in this context?

• Subtracting the numerator from the denominator.

• Dividing the numerator by the denominator.

• Adding a constant to both the numerator and denominator.

• Multiplying the numerator and denominator by the same number.