Co-Function Identities in Trigonometry

The video tutorial explains co-functional identities in trigonometry, focusing on how trigonometric functions can be expressed as their co-functions when angles are complementary. It covers the relationships in right triangles, provides examples of co-function identities, and demonstrates how to rewrite functions using these identities. The tutorial emphasizes understanding the complementary angles and the proper co-function relationships.

What is the main focus of co-functional identities in trigonometry?

• To find the area of a triangle

• To relate trigonometric functions with their complementary angles

• To calculate the perimeter of a circle

• To determine the length of a hypotenuse

In a right triangle, how is the sine of an angle calculated?

• Opposite side over hypotenuse

• Adjacent side over hypotenuse

• Adjacent side over opposite side

• Hypotenuse over opposite side

What does the value of a trigonometric function depend on?

• The perimeter of the triangle

• The length of the hypotenuse

• The specific angle being considered

• The area of the triangle

What is the cosine of an angle in a right triangle?

• Opposite side over hypotenuse

• Adjacent side over hypotenuse

• Hypotenuse over adjacent side

• Opposite side over adjacent side

What is the relationship between sine and cosine for complementary angles?

• They are unrelated

• They are complements

• They are equal

• They are inverses

Which trigonometric function is the co-function of cosine?

• Sine

• Tangent

• Secant

• Cosecant

How can you express sine of an angle using its co-function?

• Cosine of the same angle

• Cosine of 90 degrees minus the angle

• Secant of the angle

• Tangent of the angle

What is the co-function of tangent?

• Sine

• Cotangent

• Cosine

• Secant

How do you find the complementary angle for a given angle?

• Multiply the angle by 2

• Subtract the angle from 90 degrees

• Add the angle to 90 degrees

• Subtract the angle from 180 degrees

What is the co-function of secant?

• Tangent

• Cosine

• Cosecant

• Cotangent