Three different ways to define Sine

What is the relationship between the sides of a triangle and the hypotenuse in trigonometry?

• The hypotenuse is always equal to the difference of the other two sides.

• The hypotenuse is the shortest side in a right triangle.

• The hypotenuse is the longest side and is opposite the right angle.

• The hypotenuse is always equal to the sum of the other two sides.

How is the sine function simplified when the hypotenuse is 1?

• Sine is equal to the X coordinate.

• Sine is equal to the Y coordinate.

• Sine is equal to the hypotenuse.

• Sine is equal to the angle Theta.

What happens to the cosine function when the hypotenuse is 1?

• Cosine becomes equal to the angle Theta.

• Cosine becomes equal to the hypotenuse.

• Cosine becomes equal to the X coordinate.

• Cosine becomes equal to the Y coordinate.

What is a potential danger of simplifying trigonometric functions with a hypotenuse of 1?

• It can cause confusion with previous definitions.

• It can lead to incorrect calculations of angles.

• It results in undefined trigonometric values.

• It makes the functions more complex.

Why is it important to understand the simplification of trigonometric functions on a coordinate grid?

• It helps in solving algebraic equations.

• It aids in understanding the unit circle.

• It simplifies the calculation of angles.

• It is necessary for graphing linear equations.