Trigonometric Functions and Inverses

The video tutorial by Anil Kumar explains how to calculate the inverse of the cotangent function, specifically for the value of cot inverse of minus half. The process involves understanding the definition of cotangent inverse, using cosine to find the inverse, and constructing a triangle to aid in the calculation. The tutorial concludes with a demonstration of using a calculator to find the final value, emphasizing the importance of using cosine inverse for cotangent calculations.

What is the main topic discussed in the video?

• Calculating the inverse of the cosine function

• Calculating the inverse of the sine function

• Calculating the inverse of the cotangent function

• Calculating the inverse of the tangent function

What is the specific problem addressed in the video?

• Finding cot inverse of -1/2

• Finding cot inverse of -2

• Finding cot inverse of 2

• Finding cot inverse of 1/2

In which interval is the cotangent inverse defined?

• 0 to 2π

• -π to π

• 0 to π

• -π/2 to π/2

Which trigonometric function's inverse is used to calculate cotangent inverse?

• Secant

• Cosine

• Tangent

• Sine

What is the first step in expressing cot inverse in terms of cosine?

• Sketching a triangle

• Using a calculator

• Applying a formula

• Using a unit circle

What does cot Y = -1/2 represent in the triangle?

• Ratio of adjacent to opposite side

• Ratio of opposite to adjacent side

• Ratio of hypotenuse to adjacent side

• Ratio of hypotenuse to opposite side

What are the coordinates of the point used in the triangle sketch?

• (2, -1)

• (-1, 2)

• (1, 2)

• (-2, 1)

How is the hypotenuse calculated in the triangle?

• Square root of 2 squared plus 1 squared

• Square root of 2 squared plus (-1) squared

• Square root of 1 squared plus 2 squared

• Square root of (-1) squared plus 2 squared

What is the value of cos Y in the triangle?

• 1 over square root of 5

• -1 over square root of 5

• 2 over square root of 5

• -2 over square root of 5

What is the purpose of finding cos Y?

• To find the adjacent side

• To find the opposite side

• To find the angle Y

• To find the hypotenuse