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Mathematics 14 Online
zarkam21:

True?

zarkam21:

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zarkam21:

Actually just checked its false

Vocaloid:

as a hint, cscx has its asymptotes when sinx = 0 does x = pi/2 + npi describe the zeros of sin or cos?

Vocaloid:

right, it's false, that would be the domain of sec not csc

zarkam21:

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zarkam21:

C

Vocaloid:

good

zarkam21:

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zarkam21:

B

Vocaloid:

not quite you have to look up/sketch these/memorize these

zarkam21:

C

Vocaloid:

good

zarkam21:

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zarkam21:

A and B

Vocaloid:

check again hint: is cos or sin even?

zarkam21:

Um Cos

zarkam21:

right

zarkam21:

@Vocaloid

Vocaloid:

good, and if cos is even, 1/cos must also be even, making which two functions in the problem even?

zarkam21:

C and D

zarkam21:

because of that

Vocaloid:

sin is not even

Vocaloid:

which trig function is equal to 1/cos?

zarkam21:

A

Vocaloid:

good so A + C = your answer

zarkam21:

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zarkam21:

C

Vocaloid:

well done

zarkam21:

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zarkam21:

D

Vocaloid:

not quite, cot would be the inverse

zarkam21:

B

Vocaloid:

good

zarkam21:

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zarkam21:

B D C

Vocaloid:

hint - sec(x) = 1/cos(x) and it has the same period as cos(x), what would that be?

zarkam21:

A

Vocaloid:

cos(x) and sin(x) have periods of 2pi (you really need to know this) so only tan and cot have periods of pi

zarkam21:

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zarkam21:

Asymptotes

Vocaloid:

good

zarkam21:

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zarkam21:

B and C

Vocaloid:

|dw:1520960061288:dw|

Vocaloid:

is the range of sec(x) all real numbers?

zarkam21:

No

Vocaloid:

good, so looking at your question, which answer(s) do you think it might be? I would recommend looking at all the graphs carefully before answering

zarkam21:

cot and tan

Vocaloid:

awesome

zarkam21:

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zarkam21:

C

Vocaloid:

good

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