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Soloha48 [4]
3 years ago
15

Which expression is equivalent to cos(1.4x) − cos(0.6x)?

Mathematics
2 answers:
givi [52]3 years ago
5 0

Answer:

  A.  -2sin(x)sin(0.4x)

Step-by-step explanation:

At x=0, the given expression evaluates to zero.

For x near zero, the given expression is slightly negative. You know this because cos(1.4x) decreases faster than cos(0.6x), so their difference will be negative.

Of the answer choices, you can eliminate C and D because they are not zero at x=0. You can eliminate choice B, because it is positive for values of x near zero. The only viable choice is A:

   -2sin(x)sin(0.4x)

___

Of course, a graphing calculator can help you figure this out. See the attachment. The given expression is plotted using a solid red line; the answer choice A is plotted using blue dots.

timofeeve [1]3 years ago
3 0

Answer:

A. -2sin x sin(0.4x)

Step-by-step explanation:

At x=0, the given expression evaluates to zero.

For x near zero, the given expression is slightly negative. You know this because cos(1.4x) decreases faster than cos(0.6x), so their difference will be negative.

Of the answer choices, you can eliminate C and D because they are not zero at x=0. You can eliminate choice B, because it is positive for values of x near zero. The only viable choice is A: -2sin(x)sin(0.4x)

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