Trigonometric Functions and Identities

The video tutorial covers fundamental trigonometric identities, focusing on reciprocal identities such as sine, cosecant, secant, and cosine. It provides examples of calculating secant and cosecant using these identities, utilizing the unit circle and reference angles. The tutorial also introduces an online trigonometry course, detailing its content and structure. Advanced trigonometric calculations with negative angles are demonstrated, emphasizing the importance of rationalizing denominators and understanding co-terminal angles.

What is the reciprocal identity of sine?

• Tangent

• Cosecant

• Cotangent

• Secant

How is secant of an angle related to cosine?

• Secant is the same as cosine

• Secant is the square of cosine

• Secant is the reciprocal of cosine

• Secant is the inverse of cosine

What is the value of secant for an angle of 60°?

• 1

• 2

• √3

• 1/2

In which quadrant is the angle 330° located?

• Quadrant IV

• Quadrant I

• Quadrant III

• Quadrant II

What is the reference angle for -225°?

• 180°

• 135°

• 90°

• 45°

What is the secant of -7π/6?

• -√3/2

• 2√3/3

• -2√3/3

• √3/2

What is the value of secant at 0°?

• 1

• 0

• Infinity

• Undefined

What is the value of secant at 90°?

• 1

• 0

• Undefined

• Infinity

What is the value of cosecant at 180°?

• Undefined

• 1

• Infinity

• 0

What is the value of cosecant at 270°?

• -1

• 0

• Undefined

• 1