What are co function identities

The video tutorial covers the first quadrant of the unit circle, focusing on key angles and their coordinates. It explains the relationship between sine and cosine values for specific angles and introduces cofunction identities. The tutorial demonstrates how these identities apply to various trigonometric functions, emphasizing their usefulness in understanding angle relationships.

What are the coordinates for the angle of 45 degrees in the unit circle's first quadrant?

• (0, 1)

• (sqrt(3)/2, 1/2)

• (sqrt(2)/2, sqrt(2)/2)

• (1/2, sqrt(3)/2)

Which of the following statements is true about the sine and cosine of complementary angles?

• Cosine of an angle is equal to the cosine of its complement.

• Sine of an angle is equal to the cosine of its complement.

• Cosine of an angle is equal to the sine of its complement.

• Sine of an angle is equal to the sine of its complement.

If the sine of 30 degrees is 1/2, what is the cosine of 60 degrees?

• 1/2

• sqrt(3)/2

• sqrt(2)/2

• 0

Which identity correctly represents the relationship between tangent and cotangent for complementary angles?

• Tangent of an angle is equal to the tangent of its complement.

• Tangent of an angle is equal to the cotangent of the angle.

• Tangent of an angle is equal to the cotangent of its complement.

• Cotangent of an angle is equal to the tangent of its complement.

What is the cofunction identity for secant in terms of cosecant?

• Secant of an angle is equal to the tangent of its complement.

• Secant of an angle is equal to the cosecant of the angle.

• Secant of an angle is equal to the sine of its complement.

• Secant of an angle is equal to the cosecant of its complement.