Write each function in terms of its cofunction. Assume all angles involved are acute angles. See Example 2. sin 45°

Key Concepts

Cofunction Identities

Cofunction identities relate the trigonometric functions of complementary angles. For acute angles, the sine of an angle is equal to the cosine of its complement, and vice versa. For example, sin(θ) = cos(90° - θ). Understanding these identities is crucial for rewriting trigonometric functions in terms of their cofunctions.

Acute Angles

Acute angles are angles that measure less than 90 degrees. In trigonometry, the properties and values of trigonometric functions are often defined specifically for acute angles, as they yield positive values. Recognizing that the question specifies acute angles helps in applying the correct identities and understanding the context of the functions involved.

Trigonometric Functions

Trigonometric functions, such as sine, cosine, and tangent, are fundamental in relating angles to side lengths in right triangles. Each function has specific values based on the angle's measure. For instance, sin(45°) corresponds to the ratio of the opposite side to the hypotenuse in a right triangle, which is essential for evaluating and rewriting functions in terms of their cofunctions.