How do the constraints tell us which quadrant our angle should lie in

The video tutorial explains how to find angles on the unit circle where cosine equals sqrt(2)/2, emphasizing the importance of considering constraints. It covers identifying quadrants where cosine is positive and tangent is negative, and provides examples to illustrate these concepts.

When the cosine of an angle equals sqrt(2)/2, how many possible angles are there on the unit circle?

• Two

• One

• Three

• Four

In which quadrants is the cosine of an angle positive?

• Quadrants 1 and 2

• Quadrants 3 and 4

• Quadrants 2 and 3

• Quadrants 1 and 4

What does a constraint mean in the context of finding angles on the unit circle?

• It allows for more angles to be considered.

• It only applies to sine values.

• It limits the number of possible angles.

• It has no effect on the angles.

When is the tangent of an angle less than zero?

• In Quadrants 1 and 3

• In Quadrants 3 and 4

• In Quadrants 1 and 2

• In Quadrants 2 and 4

If a triangle is to be drawn in Quadrant 2, what is the range of the angle in radians?

• 3π/2 to 2π

• π to 3π/2

• π/2 to π

• 0 to π/2