Final answer:
To express sine squared theta minus cos squared theta in terms of sin theta, use the Pythagorean identity and substitute the expression for sin squared theta. The result is 1 - 2cos squared theta.
Step-by-step explanation:
To express sine squared theta minus cos squared theta in terms of sin theta, we can use the Pythagorean identity. The Pythagorean identity states that sin squared theta plus cos squared theta equals 1. Rearranging this equation, we have sin squared theta equals 1 minus cos squared theta. Therefore, we can substitute this expression into the given equation to get:
sine squared theta minus cos squared theta equals (1 - cos squared theta) minus cos squared theta = 1 - 2cos squared theta