Evaluate the six trigonometric functions for a value and constraint

The video tutorial covers the concept of cosecant and its relationship with sine, explaining that cosecant is the reciprocal of sine. It discusses the six trigonometric identities and their application on the unit circle. The tutorial emphasizes understanding triangle constraints and how triangles can be positioned in different quadrants. It also demonstrates how to calculate the six trigonometric functions, including sine, cosine, and tangent, and their reciprocals, with a focus on rationalizing denominators.

What is the reciprocal of the sine function?

• Tangent

• Cotangent

• Cosecant

• Secant

How can the number 3 be expressed as a ratio for trigonometric purposes?

• 2/3

• 3/1

• 1/3

• 3/2

In which quadrants is the cotangent function negative?

• First and Third

• Second and Fourth

• First and Fourth

• Second and Third

What is the value of sine if the opposite side is 1 and the hypotenuse is 3?

• 1/3

• 2/3

• 3/1

• 1/2

What is the cosine of an angle if the adjacent side is -2√2 and the hypotenuse is 3?

• 3/-2√2

• -3/2√2

• -2√2/3

• 2√2/3

How do you rationalize the denominator of 1/√2?

• Multiply by √2/√2

• Multiply by 2/2

• Multiply by 1/√2

• Multiply by √3/√3

What is the cotangent of an angle if the adjacent side is -2√2 and the opposite side is 1?

• 2√2/1

• 1/-2√2

• -1/2√2

• -2√2/1