trigonometry Flashcards

(26 cards)

1
Q

what is soahcahtoa used for ?

A

right angle triangles

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2
Q

what is the sine rule?

A

a/sinA=b/sinB=c/sinC

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3
Q

what is the equation for area of a triangle?

A

area = 1/2 a b sin C

or 1/2 bh

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4
Q

what is the cosine rule?

A

a²= b²+ c² - 2bc cos A

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5
Q

what are the two trig identities?

A

tan θ = sin θ / cos θ

and

sin²θ + cos²θ = 1

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6
Q

what are the sine/cosine periods ?

A

360 degrees or 2 pi radians

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7
Q

what is the tangent period?

A

180 degrees or 1 pi radians

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8
Q

what is the range for sin theta and cos theta?

A

-1,1

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9
Q

what is the range for tan theta?

A

is all real numbers
R

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10
Q

how to calculate area of a sector?

A

1/2 r^2 θ
(theta in radians)

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11
Q

how to calculate arc length?

A

r(θ)

theta in radians

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12
Q

what is the conversion for radians

A

pi radians = 180 degrees

ie 2 pi radians = 360 degrees

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13
Q

what is the reciprocal trig function for sec theta

A

secθ=1/cosθ

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14
Q

what is the reciprocal trig function for cosec theta

A

cosecθ=1/sinθ

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15
Q

what is the reciprocal trig function for cot theta

A

cotθ=1/tanθ

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16
Q

what is SOHCAHTOA

A

SOH = sinθ = opp/adj
CAH = cosθ = adj/hyp
TOA = tanθ = opp/adj

17
Q

what is hypotenuse

A

The longest side of a right-angled triangle, opposite the
90 dg angle.

18
Q

what is opposite

A

The side opposite the angle θ

19
Q

how to calculate segment area

A

1/2 r^2(θ-sinθ)

20
Q

what is the pythagorean identity

A

sin^2 θ + cos^2 θ = 1

21
Q

what is the tan graph period

22
Q

what is the sin / cos graph period

23
Q

quotient identity

A

tan θ = sin θ / cos θ

24
Q

secant / tangent identity

A

1 + tan^2 θ = sec^2 θ

25
double angle (sin)
sin2θ = 2sinθcosθ
26
double angle (cos)
cos 2 θ = cos^2 θ -sin^2 θ = 2 cos^2 θ - 1= 1-2sin^2 θ