3 years ago

Which of the following are true statements? Select all that apply.

2 answers:

3 0

Since sine and cosecant are reciprocals, when one has a maximum the other has a minimum and vice versa.

That's choices B & D

Not sure what the question at the end is asking; at 90 degrees and also at -90 degrees the values of sine and cosecant are equal.

3 0

B) The cosecant graph has a local minimum when the sine graph has a local maximum.

D) The cosecant graph has a local maximum when the sine graph has a local minimum.

, The Period

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nataly862011 [7]

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solniwko [45]

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Korvikt [17]

For this case we have the following functions:

$f (x) = x ^ 4-x ^ 3 x ^ 2\\g (x) = - x ^ 2$

By definition of composition of functions we have to: $(f \ g) (x) = \frac {f (x)} {g (x)}$

So:

$\frac {f (x)} {g (x)} = \frac {x ^ 4-x ^ 3 x ^ 2} {- x ^ 2} = \frac {x ^ 4} {- x ^ 2} +\frac {-x ^ 3} {- x ^ 2}+ \frac {x ^ 2} {- x ^ 2} =$

By definition of division of powers of the same base we have to place the same base and subtract the exponents:

$\frac {f (x)} {g (x)} = - x ^ 2+x-1$

ANswer:

$(\frac {f} {g}) (x) = - x ^ 2 +x-1$

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insens350 [35]

Easy it is clearly A

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