10.1/2 Flashcards

(29 cards)

1
Q

Pythagorean Theorem

A

Used to find a side length on a right triangle

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2
Q

Pythagorean Theorem Formula

A

a^2+b^2=c^2

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3
Q

Types of Special Right Triangles

A

45-45-90
30-60-90

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4
Q

45-45-90

A

Leg = x
Leg = x
Hypotenuse = x * √2

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5
Q

30-60-90

A

Shorter leg = x
Longer leg = x * √3
Hypotenuse = 2x

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6
Q

Trigonometric Function

A

Function whose rule is defined by a trigonometric ratio

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7
Q

Trigonometric Ratio

A

Compares the lengths of two sides of the triangle specifically in relationship to one of the acute angles

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8
Q

Sine

A

Soh
Sinø= opposite/hypotenuse

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9
Q

Cosine

A

Cah
Cosø= adjacent/hypotenuse

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10
Q

Tangent

A

Toa
Tanø= opposite/adjacent

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11
Q

Cosecant

A

1/sinø
cscø= hypotenuse/opposite

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12
Q

Secant

A

1/cosø
secø= hypotenuse/adjacent

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13
Q

Cotangent

A

1/tanø
cotø= adjacent/opposite

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14
Q

Reciprocal Functions

A

Sine to cosecant/csc
Cosine to secant/sec
Tangent to cotangent/cot

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15
Q

sin45º

A

√2/2

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16
Q

cos45º

17
Q

tan45º

18
Q

sin30º

19
Q

cos30º

20
Q

tan30º

21
Q

sin60º

22
Q

cos60º

23
Q

tan60º

24
Q

sinø = x

25
cosø = x
ø=cos^-1(x)
26
tanø = x
ø=tan^-1(x)
27
Angle of Elevation
Eyelevel is longer leg Line of sight is hypotenuse to neck looking up Angle is by person
28
Angle of Depression
Line of sight looking down compared to looking forward
29