TEST 2 REVIEW Flashcards by Jessica Vo | Brainscape

Q

interval [-pi/2, pi/2]

A

arc sin

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Q

when sin of theta equals 0…

A

theta equals 0, positive x axis

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Q

when sin of theta is greater than 0…

A

0<theta(<=)pi/2, Q1 or positive y axis

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Q

when sin of theta is less than 0…

A

pi/2(<=)theta<0, QIV or negative y axis

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Q

is sin odd or even

A

odd

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Q

what is the domain of sin

A

(-infinity, infinity)

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Q

what is the y-intercept of sin

A

0

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Q

what is the equation for the zeros of sin

A

npi

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Q

what is the range of sin

A

[-1,1]

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Q

what is the period of sin

A

2pi

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Q

what is the relative maximum of sin

A

1 at x=pi/2 + 2pin

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Q

what is the relative minimum of sin

A

-1 at x= 3pi/2 + 2pin

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Q

interval (-pi/2, pi/2)

A

arctan

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Q

when tan theta=0….

A

theta=0, positive x axis

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Q

when tan theta>0…

A

0<theta<pi/2, QI

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Q

when tantheta<0

A

-pi/2<theta<0, QIV

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Q

is tan even or odd

A

odd

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Q

what is the domain of tan

A

x, x cant equal (2n+1)(pi/2)

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Q

what is the y intercept of tan

A

0

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Q

what is the range of tan

A

(-infinity, infinity)

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Q

what are the zeros of tan

A

x=npi

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Q

what is the period of tan

A

pi

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Q

what is the primary cycle of tan

A

(-pi/2, pi/2)

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Q

vertical asymptotes of tan

A

x=(2n+1)(pi/2)

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Q

interval [-1,1]

A

arccos

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Q

when cos theta=0

A

theta = pi/2, positive y axis

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Q

when cos theta >0

A

0(<=)theta<pi/2, QI or positive x axis

Q

when cos theta<0

A

pi/2<theta(<=)pi, QII or negative x axis

Q

is cos an odd or even function

A

even

Q

what is the domain of cos

A

(-infinity, infinity)

Q

what is the y intercept of cos

A

1

Q

what are the zeros of cos

A

pi(2n+1)/2

Q

range of cos

A

[-1,1]

Q

period of cos

A

2pi

Q

relative max of cos

A

1 at x=2pin

Q

relative min of cos

A

-1 at x=pi+2pin

Q

is csc odd or even

A

odd

Q

period of csc

A

2pi

Q

domain of csc

A

x, x cannot equal npi

Q

range of csc

A

(-infinity,-1] U [1, infinity)

Q

equation of vertical asymptotes of csc

A

x=npi

Q

relative maximum of csc

A

-1 at x=3pi/2+2pin

Q

relative minimum of csc

A

1 at x=pi/2+2pin

Q

domain of sec

A

x, x cannot equal (2n+1)pi/2

Q

range of sec

A

(-infinity, -1] U [1, infinity)

Q

period of sec

A

2pi

Q

vertical asymptotes of sec

A

x=(2n+1)pi/2i

Q

is sec an even or odd function

A

even

Q

relative max of sec

A

-1 at x=(2n+1)pi

Q

relative min of sec

A

1 at x=2pin

Q

is cot odd or even

A

odd

Q

y intercept of cot

A

dne

Q

period of cot

A

pi

Q

domain of cot

A

x, x cannot equal npi

Q

range of cot

A

(-infinity, infinity)

Q

period cycle of cot

A

(0, pi)

Q

vertical asymptotes of cot

A

x=npi

Q

sin(arcsinx)

A

[-1,1]

Q

arcsin(sintheta)

A

[-pi/2, pi/2]

Q

cos(arccosx)

A

[-1,1]

Q

arccos(costheta)

A

[0, pi]

Q

tan(arctanx)

A

(-infinity, infninty)

Q

arctan(tantheta)

A

(-pi/2, pi/2)

Q

what equation do you use to determine intervals

A

-pi/2<Bx-C<pi/2

Q

the equation for determining range (with D)

A

[-|A|+D, |A|+D]

Q

equation for determining period

A

P=(2pi)/B

Q

equation for determining phase shift

A

C/B