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Which expression is equivalent to 3cos²(θ/2) - 3?

a. 3/2(cos(θ) - 1)
b. 3/2(cos(θ) - 5)
c. 3(cos(θ) + 2)
d. 3(cos(θ) + 1)

User Asachet
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1 Answer

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Final answer:

The expression that is equivalent to 3cos²(θ/2) - 3 is 3(cos(θ) + 1).

Step-by-step explanation:

The expression that is equivalent to 3cos²(θ/2) - 3 is option d. 3(cos(θ) + 1).

To simplify, we can use the identity cos²(θ) = 1/2(cos(2θ) + 1). So, the expression becomes 3(1/2(cos(θ) + 1/2 + 1) - 3 = 3(1/2cos(θ) + 3/2 - 3 = 3(cos(θ) + 1).

User Soufiane ELAMMARI
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