Final answer:
To evaluate sin(θ - φ), use the trigonometric identity sin(a + b) = sin(a)cos(b) + cos(a)sin(b). Without specific values for θ and φ, we demonstrate the use of the formula rather than performing a numerical evaluation.
Step-by-step explanation:
To evaluate the expression sin(θ - φ), we can utilize trigonometric identities. One such identity, which appears to be relevant based on the provided snippets, is sin(a + b) = sin(a)cos(b) + cos(a)sin(b). This is the sum and difference formula for sine. By using this formula, we can evaluate sin(θ - φ) if we know the values of sin(θ), cos(θ), sin(φ), and cos(φ).
However, no specific values for θ and φ were provided, so we must assume that this question is asking for a demonstration of the formula rather than a numerical evaluation. If the values were provided, we would substitute them accordingly and perform the arithmetic to find the result.
In some contexts, such as physics or engineering problems, we might be given information about the forces or angles in terms of torque, sine waves, or other mathematical models where we would apply such formulas to solve a problem by finding the values of variables or constants.