Final answer:
To write the trigonometric expression as an algebraic expression in u and v, substitute the trigonometric functions with their corresponding algebraic expressions and simplify.
Step-by-step explanation:
To write the trigonometric expression as an algebraic expression in u and v, we can substitute the trigonometric functions with their corresponding algebraic expressions.
For example, cos²θ can be written as (1/2)(1 + cos2θ).
By applying these substitutions and simplifying, we can rewrite the given expression in terms of u and v.