Exploring Cot, Sec, and Csc in the Unit Circle

What does the sine of an angle represent in the unit circle?

• The y-coordinate over the x-coordinate

• The x-coordinate over the y-coordinate

• The y-coordinate

• The x-coordinate

What is the reciprocal of the sine function called?

• Secant

• Cosine

• Cosecant

• Cotangent

How do you find the cosecant of an angle?

• Multiply the sine by the cosine

• Take the reciprocal of the sine

• Take the reciprocal of the cosine

• Divide the x-coordinate by the y-coordinate

For the angle PI over 3, what is the cosine value?

• Radical 3

• 1/2

• Radical 3 over 2

• 2 over Radical 3

What is the secant of PI over 3?

• 2 over Radical 3

• 1/2

• 2

• Radical 3 over 3

What is the tangent of PI over 3?

• 1/2

• Radical 3 over 2

• Radical 3

• 2 over Radical 3

For the angle 7 PI over 6, what is the sine value?

• Radical 3 over 2

• -Radical 3 over 2

• -1/2

• 1/2

What is the cotangent of 7 PI over 6?

• Radical 3

• -Radical 3

• -2

• Radical 3 over 3

What happens to the cotangent function when its denominator is 0?

• It becomes -1

• It becomes 1

• It becomes 0

• It is undefined

What is the significance of coterminal angles in trigonometry?

• They are angles that result in undefined trigonometric functions.

• They are angles with the same tangent value only.

• They are angles that add up to 360 degrees.

• They have the same sine, cosine, and tangent values.