Basic Trigonometric Identities Flashcards

1
Q

Reciprocal ID for sin x

A

1 / csc x

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2
Q

Reciprocal ID for cos x

A

1/ sec x

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3
Q

Reciprocal ID for tan x

A

1 / cot x

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4
Q

Reciprocal ID for csc x

A

1 / sin x

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5
Q

Reciprocal ID for sec x

A

1 / cos x

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6
Q

Reciprocal ID for cot x

A

1 / tan x

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7
Q

Pythagorean Identity involving

sin x and cos x

A

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

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8
Q

Pythagorean Identity involving

tan x and sec x

A

1 + tan^2 (x) = sec^2 (x)

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9
Q

Pythagorean Identity involving

csc x and cot x

A

1 + cot^2 (x) = csc^2 (x)

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10
Q

sin ( -x )

A
  • sin x
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11
Q

csc ( -x)

A
  • csc x
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12
Q

cos ( -x)

A

cos x

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13
Q

sec ( -x )

A

sec x

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14
Q

tan ( -x)

A
  • tan x
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15
Q

cot ( -x)

A
  • cot x
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16
Q

sin (90 - x)

A

cos x

17
Q

cos (90 - x)

A

sin x

18
Q

tan (90 - x)

A

cot x

19
Q

cot (90 - x)

A

tan x

20
Q

complementary

A
when the sum of two angles equals 90 degrees. 
x and (90 - x) are complementary
21
Q

complementary functions

A

sine compl. to cosine
secant compl. to cosecant
tangent compl. to cotangent