Learning to evaluate the six trig functions given a equation and constraint

The video tutorial explains the concept of drawing triangles with constraints, applying the Pythagorean theorem to find unknown sides, and understanding trigonometric functions in different quadrants. It emphasizes the importance of constraints in determining the sign of trigonometric functions and demonstrates how to calculate sine, cosine, tangent, and their reciprocals.

What is the significance of introducing an X&Y axis when drawing triangles with constraints?

• It simplifies the calculation of the hypotenuse.

• It provides a framework to understand the impact of constraints on triangle orientation.

• It allows for a more accurate calculation of angles.

• It helps in visualizing the triangle in a 3D space.

How does the Pythagorean theorem help in understanding the differences in triangle sides under constraints?

• It helps in calculating the hypotenuse directly.

• It allows for the determination of the third side's length.

• It provides a method to calculate angles.

• It simplifies the calculation of the opposite side.

In which quadrants is the cotangent positive, according to the given constraints?

• 1st and 3rd quadrants

• 3rd and 4th quadrants

• 1st and 2nd quadrants

• 2nd and 3rd quadrants

What is the cosecant of Theta if the sine of Theta is 2/3?

• 3/2

• 2/3

• 5/3

• 3/5

Which trigonometric function is calculated as the opposite over hypotenuse?

• Cosine

• Sine

• Cotangent

• Tangent