Trigonometric Identies Video Flashcards

1
Q

(__, sin ø)

A

(cos ø, sin ø)

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2
Q

(cos ø, __)

A

(cos ø, sin ø)

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3
Q

Tan ø =

A

sin ø / cos ø

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4
Q

cot ø =

A

cos ø / sin ø

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5
Q

sec ø =

A

1 / cos ø

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6
Q

csc ø =

A

1 / sin ø

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7
Q

original pythagorean trigonometric identity?

A

sin^2 ø + cos^2 ø = 1

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8
Q

original pythagorean trig identity divided by cos^2 ø

A

tan^2 ø + 1 = sec^2 ø

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9
Q

original pythagorean trig identity divided by sin^2 ø

A

1 + cot^2 ø = csc^2 ø

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10
Q

what’s the sin angle addition identity?

A

sin(x+y) = sin x cos y + cos x sin y

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11
Q

sin(x+y) =

A

sin x cos y + cos x sin y

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12
Q

what’s the sin angle subtraction identity?

A

sin(x-y) = sin x cos y - cos x sin y

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13
Q

sin(x - y) =

A

sin x cos y - cos x sin y

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14
Q

what’s the cos angle addition identity?

A

cos( x + y) = cos x cos y - sin x sin y

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15
Q

what’s the cos angle substraction identity?

A

cos(x-y) = cos x cos y + sin x sin y

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16
Q

cos(x-y) =

A

cos x cos y + sin x sin y

17
Q

cos(x+y) =

A

cos x cos y - sin x sin y

18
Q

what’s the sin double angle identity?

A

sin2x = 2 sin x cos x

19
Q

sin2x =

A

2 sin x cos x

20
Q

what’s the cos double angle identity?

A

cos 2x = cos^2 x - sin^2 x

21
Q

cos 2x =

A

cos^2 x - sin^2 x

22
Q

what are the other two cos double angle identities?

A

cos 2x = 2cos^2 (x) - 1

cos 2x = 1 - 2sin^2 (x)