Understanding Arccotangent and Arctangent

The video tutorial explains how to evaluate the arccotangent of -3.6 by determining an angle with a cotangent value of -3.6. It discusses the range of arccotangent and the use of a calculator to find the angle using tangent, a reciprocal function. The tutorial demonstrates calculating angle B and its reference angle, converting the result from degrees to radians, and emphasizes the importance of careful calculator use for inverse trigonometric functions.

What is the range of the arccotangent function?

• 0 to π radians

• -π/2 to π/2 radians

• 0 to 2π radians

• -π to π radians

Why must angle A be in the second quadrant?

• Because the tangent value is positive

• Because the cotangent value is negative

• Because the tangent value is negative

• Because the cotangent value is positive

What is the reciprocal function of cotangent?

• Cosine

• Secant

• Sine

• Tangent

What is the approximate degree measure of angle B?

• 30 degrees

• -30 degrees

• 15.5 degrees

• -15.5 degrees

How do you find angle A using angle B's reference angle?

• Add the reference angle to 180 degrees

• Subtract the reference angle from 180 degrees

• Multiply the reference angle by 2

• Divide the reference angle by 2

What is the approximate measure of angle A in degrees?

• 90 degrees

• 180 degrees

• 164.5 degrees

• 15.5 degrees

What is the approximate radian measure of angle B?

• -1 radians

• 0.2709 radians

• 1 radians

• -0.2709 radians

What is the approximate radian measure of angle A?

• 0.2709 radians

• 1.5708 radians

• 2.8707 radians

• 3.1416 radians

Why is it important to check the calculator mode when converting angles?

• To ensure the calculator is in scientific mode

• To ensure the calculator is in degree mode

• To ensure the calculator is in radian mode

• To ensure the calculator is in the correct mode for the desired output

What is the importance of using a calculator for inverse trig functions?

• To avoid manual errors

• To quickly find the exact angle

• To ensure the correct range is used

• All of the above