Evaluate functions using cofunction and trig identities

The video tutorial covers the concepts of cosecant and secant functions, reviewing the unit circle and sine function. It explains how to handle points not on the unit circle by creating triangles and determining trigonometric functions. The tutorial also explores cofunction identities, demonstrating their relationships and applications.

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

• The X coordinate of the point

• The angle in radians

• The Y coordinate of the point

• The radius of the circle

If the cosecant of an angle is given, what is the reciprocal function?

• Tangent

• Cosine

• Secant

• Sine

When given a point not on the unit circle, what is the first step to solve trigonometric problems?

• Calculate the hypotenuse

• Use the unit circle

• Draw a triangle

• Find the angle

How do you rationalize the denominator of a fraction like 2/sqrt(13)?

• Divide by sqrt(13)

• Subtract sqrt(13) from the denominator

• Add sqrt(13) to the numerator

• Multiply by sqrt(13)/sqrt(13)

What is the cofunction identity for secant of 90 degrees minus an angle?

• Tangent of the angle

• Sine of the angle

• Cosine of the angle

• Cosecant of the angle

Which trigonometric function is equivalent to the cosine of 60 degrees?

• Secant of 60 degrees

• Sine of 30 degrees

• Tangent of 45 degrees

• Cosecant of 30 degrees

What is the relationship between tangent and cotangent in cofunction identities?

• Tangent is the reciprocal of cotangent

• Tangent and cotangent are equal

• Tangent of an angle is cotangent of 90 minus the angle

• Tangent of 90 minus an angle is cotangent