Problem

Write the expression as a single function of α.
cos(0+α)
Choose the correct answer below.
A. cosα
B. cosα
C. sinα
D. sinα

Answer

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Answer

Final Answer: The correct answer is B. cosα.

Steps

Step 1 :Write the expression as a single function of α.

Step 2 :cos(0+α)

Step 3 :Choose the correct answer below.

Step 4 :A. cosα

Step 5 :B. cosα

Step 6 :C. sinα

Step 7 :D. sinα

Step 8 :The expression cos(0+α) can be simplified using the trigonometric identity for the cosine of a sum of two angles, which is cos(a+b)=cosacosbsinasinb. In this case, a=0 and b=α. Since cos0=1 and sin0=0, the expression simplifies to cosα. Therefore, the correct answer is B. cosα.

Step 9 :Final Answer: The correct answer is B. cosα.

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