Final answer:
The statement that sin^2 t + cos^2 t = 1 means that the sum of the squares of sine and cosine functions is always equal to 1, which corresponds to option C in the question.
Step-by-step explanation:
If sin^2 t + cos^2 t = 1, then the correct statement that is also true is C) The sum of the squares of sine and cosine functions is equal to 1. This statement directly restates the given trigonometric identity, which is known as the Pythagorean identity in trigonometry. It expresses the fundamental relationship between the sine and cosine of an angle, which holds true for all angle measures.
To further clarify:
- A) The sum of sine and cosine functions is not always equal to 1.
- B) The product of sine and cosine functions is not always equal to 1.
- D) The difference of sine and cosine functions is not always equal to 1.
Only the sum of their squares comes out to be 1 as per the Pythagorean trigonometric identity.