Trigonometric Functions and Angles

Miss Chan teaches how to find angle values using the unit circle. The video covers identifying quadrants where x and y values are positive or negative, and solving trigonometric problems using cosine, sine, tangent, secant, and cosecant. The tutorial emphasizes understanding the unit circle and provides examples to practice finding angle measures in radians.

In which quadrants is the y-coordinate negative?

• Quadrant III and IV

• Quadrant II and III

• Quadrant I and II

• Quadrant I and IV

In which quadrant is the x-coordinate positive?

• Quadrant I and II

• Quadrant II and III

• Quadrant III and IV

• Quadrant I and IV

Where on the unit circle is the y-coordinate equal to 1?

• On the left side of the circle

• At the bottom of the circle

• At the top of the circle

• On the right side of the circle

What is the angle measure in radians for cosine theta equals 1?

• 2π

• 0

• π

• π/2

Which angle measure gives a cosine value of 1/2?

• π/6

• π/3

• π/4

• π/2

What angle measure results in sine theta being -√2/2?

• π/4

• 7π/4

• 5π/4

• 3π/4

For which angle is tangent theta equal to -1?

• 7π/4

• 5π/4

• 3π/4

• π/4

What is the angle measure for secant theta equals -2?

• π/3

• 2π/3

• 4π/3

• 5π/3

Which angle measure corresponds to cosecant theta being √2?

• 3π/4

• 7π/4

• π/4

• 5π/4

What is the angle measure in radians for cosine theta equals -1/2?

• π/3

• 2π/3

• 4π/3

• 5π/3