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A Student Claims That cos(0°)=cos0⋅cos0. Is the Student Correct?
a) Yes
b) No

1 Answer

1 vote

Final answer:

Yes, the statement cos(0°) = cos° ⋅ cos° is correct because cos(0°) is equal to 1, and 1 ⋅ 1 also equals 1.

Step-by-step explanation:

The question asks whether cos(0°) = cos° ⋅ cos° is a true statement. The correct answer is 'yes,' since cos(0°) is equal to 1, and any number multiplied by itself is that number squared. Therefore, 1 ⋅ 1 is still 1, which is the value of cos(0°). This is confirmed by trigonometric identities and the known value of the cosine function at 0 degrees.

Additionally, this question references trigonometric relationships and laws, such as the Law of Sines and the Law of Cosines, which are crucial for solving problems involving triangles. However, these laws are not directly applicable to answering this specific question about the value of cos(0°).

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