How to determine the quadrant our constraint leaves us in

The video tutorial covers the concept of constraints in trigonometry, focusing on how they affect the determination of angles in different quadrants. It explains the relationship between sine, cosine, tangent, and cosecant with respect to the unit circle and how constraints can simplify problem-solving by limiting possible answers to specific quadrants. The tutorial also reviews the unit circle and how to determine angles based on given constraints.

What is the sine of both π/6 and 5π/6?

• 1/2

• sqrt(3)/2

• -sqrt(3)/2

• -1/2

In which quadrants is the cosine of an angle negative?

• 3rd and 4th

• 2nd and 3rd

• 1st and 4th

• 1st and 2nd

When is the tangent of an angle positive?

• 1st and 2nd quadrants

• 2nd and 3rd quadrants

• 1st and 3rd quadrants

• 3rd and 4th quadrants

What is the reciprocal of the sine function?

• Cotangent

• Secant

• Cosecant

• Tangent

Which quadrants have a negative cosecant value?

• 3rd and 4th

• 2nd and 3rd

• 1st and 4th

• 1st and 2nd

What is the angle range for the 1st quadrant?

• 0 to π/2

• π/2 to π

• 3π/2 to 2π

• π to 3π/2

If an angle is between π and 3π/2, which quadrant is it in?

• 3rd

• 2nd

• 1st

• 4th