Questions:
Trig Identifies and Equations: Tangent Sum Formulas and Tire Circumferences
1. Two cars with new tires are driven at an average speed of 60 mph for a test drive of 2000 miles. The diameter of the wheels of one car is 15 inches. The diameter of the wheels of the other car is 16 inches. If the tires are equally durable and differ only by diameter, which car will probably need new tires first? Why?
2. Explain why tan(x + 450 degrees) cannot be simplified using the tangent sum formulas but can be simplified by using the sine and cosine formulas.
3. What is the difference between a trigonometric equation that is an identity and a trigonometric equation that is not an identity? Provide an example to clarify.