TEST 2 REVIEW Flashcards by Jessica Vo

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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interval [-1,1]

arccos

when cos theta=0

theta = pi/2, positive y axis

when cos theta >0

0(<=)theta

when cos theta<0

pi/2

is cos an odd or even function

even

what is the domain of cos

(-infinity, infinity)

what is the y intercept of cos

1

what are the zeros of cos

pi(2n+1)/2

range of cos

[-1,1]

period of cos

2pi

relative max of cos

1 at x=2pin

relative min of cos

-1 at x=pi+2pin

is csc odd or even

odd

period of csc

2pi

domain of csc

x, x cannot equal npi

range of csc

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

equation of vertical asymptotes of csc

x=npi

relative maximum of csc

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

relative minimum of csc

1 at x=pi/2+2pin

domain of sec

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

range of sec

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

period of sec

2pi

vertical asymptotes of sec

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

is sec an even or odd function

even

relative max of sec

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

relative min of sec

1 at x=2pin

is cot odd or even

odd

y intercept of cot

dne

period of cot

pi

domain of cot

x, x cannot equal npi

range of cot

(-infinity, infinity)

period cycle of cot

(0, pi)

vertical asymptotes of cot

x=npi

sin(arcsinx)

[-1,1]

arcsin(sintheta)

[-pi/2, pi/2]

cos(arccosx)

[-1,1]

arccos(costheta)

[0, pi]

tan(arctanx)

(-infinity, infninty)

arctan(tantheta)

(-pi/2, pi/2)

what equation do you use to determine intervals

-pi/2

the equation for determining range (with D)

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

equation for determining period

P=(2pi)/B

equation for determining phase shift

C/B