Trigonometry Concepts and Applications

This video tutorial explains how to define trigonometric functions for any angle using the rectangular coordinate system. It covers the definitions of sine, cosine, tangent, and their reciprocals, and demonstrates how these functions apply in different quadrants. The video concludes with an example problem to illustrate the application of these concepts.

What is the purpose of using the rectangular coordinate system in defining trigonometric functions?

• To eliminate negative values

• To visualize angles and points

• To simplify calculations

• To avoid using triangles

In quadrant 1, what are the signs of the x and y coordinates?

• Both are negative

• x is positive, y is negative

• Both are positive

• x is negative, y is positive

What is the angle range for quadrant 1?

• 270 to 360 degrees

• 180 to 270 degrees

• 90 to 180 degrees

• 0 to 90 degrees

What is the angle range for quadrant 1?

• 0 to 90 degrees

• 90 to 180 degrees

• 180 to 270 degrees

• 270 to 360 degrees

What is the formula for the hypotenuse r in a right triangle?

• r = x * y

• r = sqrt(x^2 + y^2)

• r = x^2 + y^2

• r = x + y

Which trigonometric function is defined as the opposite side divided by the hypotenuse?

• Secant

• Tangent

• Sine

• Cosine

What is the reciprocal of the sine function?

• Tangent

• Cotangent

• Cosecant

• Secant

Which trigonometric function is undefined when x = 0?

• Sine

• Tangent

• Cosine

• Secant

What is the reciprocal of the tangent function?

• Secant

• Cotangent

• Cosine

• Sine

Which trigonometric function is undefined when y = 0?

• Tangent

• Sine

• Cosine

• Cosecant