Write each function value in terms of the cofunction of a complementary angle.
sin 142° 14'

Key Concepts

Cofunction Identities

Cofunction identities in trigonometry state that the sine of an angle is equal to the cosine of its complementary angle. Specifically, for any angle θ, sin(θ) = cos(90° - θ). This relationship is crucial for rewriting trigonometric functions in terms of their cofunctions, especially when dealing with angles that exceed 90 degrees.

Complementary Angles

Complementary angles are two angles whose measures add up to 90 degrees. In the context of trigonometric functions, if you have an angle θ, its complement is given by 90° - θ. Understanding complementary angles is essential for applying cofunction identities effectively, as it allows for the transformation of functions into more manageable forms.

Angle Conversion

Angle conversion involves changing the representation of an angle from degrees to a more usable form, such as radians, or breaking it down into smaller components. In this case, converting 142° 14' into a more manageable angle helps in applying the cofunction identities. This process is important for accurately calculating and expressing trigonometric values.