Question

Find the values of e,a,b, and c for 24/4+2sin(θ)

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A.e=sin(θ),a=24,b=4,c=2
B.e=cos(θ),a=4,b=2,c=24
C.e=sin(θ),a=4,b=2,c=24
D.e=cos(θ),a=24,b=2,c=4

Answer 1

None of the provided options A, B, C, or D correctly matches the expression 24/4 + 2sin(θ). The values should be e = sin(θ), a = 6, b = 4, and c = 2, but a = 6 is not presented in any option.

Step-by-step explanation:

The values of e, a, b, and c for the expression 24/4 + 2sin(θ) resemble the standard form A sin(θ) or A cos(θ) where A is the amplitude of the wave. In analyzing the options, we can see that sin(θ) is involved, so e must be sin(θ). We can break down the expression to 24/4 as being part of the amplitude and 2 aligning with sin(θ), which gives a = 6, b = 4, and c = 2. However, none of the given options A, B, C, or D correctly identifies these values, meaning there might be an error in the provided options. The most correct answer under the assumption of a typo would then be C with e = sin(θ), a = 4, b = 2, c = 24, if we consider 4 multiplied by the constant outside the sine function resulting in the apparent amplitude of 24/4 which equals 6 (not given in any option).