Alek Math Exam equations flashcards

1
Q

what is i?

A

i is an imaginary number or complex numbe4r

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2
Q

what does i^2 equal?

A

i^2 equals -1

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3
Q

what does i equal?

A

i equals the square root of -1

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4
Q

what does SOH-CAH-TOA stand for?

A

sin(opposite hypotenuse), Cos(adjacent hypotenuse), Tan(opposite adjacent)

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5
Q

what is csc?

A

csc is the opposite of sin

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6
Q

what is the formula for csc?

A

hypotenuse / opposite or 1/sin

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7
Q

what is the formula for sec?

A

hypotenuse/ adjacent or 1/cos

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8
Q

what is the formula for cot?

A

adjacent/opposite or 1/tan

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9
Q

if you are trying to find a circular trig function how would you label the triangle

A

the bottom of the triangle would be labeled x, the vertical side would be labeled y and the

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10
Q

what are the coordinates for the first quadrant

A

(+,+)

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11
Q

what are the coordinates for the second quadrant?

A

(-,+)

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12
Q

what are the coordinates for the third quadrant?

A

(-,-)

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13
Q

what are the coordinates for the fourth quadrant?

A

(+,-)

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14
Q

what is the tangent function

A

y = tan x

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15
Q

what is the cycle for a tangent?

A

negative pi/ 2

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16
Q

what is the period for tangent?

A

pi

17
Q

what is the amplitude of tangent?

A

there is no amplitude

18
Q

what is the formula for csc?

A

hyp/opp

19
Q

what is the formula for sec?

A

hyp/adj

20
Q

what is the formula for cot?

A

adj/opp

21
Q

how does absolute value work?

A

is its distance from zero (0) on a number line. This action ignores the “+” or “–“ sign of a number because distance in mathematics is never negative.

22
Q

what is the power of a power rule

A

(a^m)^n = a^mn

23
Q

what is the power of a product rule

A

(ab)^n= a^nb^n