Trigonometric functions for angles less than 90° Flashcards

1
Q

What is sin α?

A

a/c or o/h

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2
Q

What is cos α?

A

b/c or a/h

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3
Q

What is tan α?

A

a/b or o/a or sin α/cos α or 1/cot α

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4
Q

What is cot α?

A

b/a or a/o or cos α/sin α or 1/tan α

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5
Q

What is a equal to?

A

csin α or btan α

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6
Q

What is b equal to?

A

ccos α or acot α

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7
Q

What is sine and cosine of complementary angles?

A

sin α = cos (90°- α), cos (90°- α) = sin α

sin (90° - α) = cos α, cos α = sin (90° - α)

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8
Q

What is tangens and cotangens of complementary angles?

A

tan (90°- α) = cot α, cot α = tan (90° - α)

cot (90° - α) = tan α, tan α = cot (90° - α)

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9
Q

What is the Pythagorean trigonometric identity called in swedish?

A

Trigonometriska ettan.

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10
Q

What is the Pythagorean trigonometric identity?

A

sin² α + cos² α = 1 for all angles α in the interval 0 < α < π/2

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11
Q

What is sin 30°?

A

½

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12
Q

What is sin 45°?

A

√2/2

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13
Q

What is sin 60°?

A

√3/2

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14
Q

What is cos 30°?

A

√3/2

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15
Q

What is cos 45°?

A

√2/2

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16
Q

What is cos 60°?

A

½

17
Q

What is tan 30°?

A

1/√3

18
Q

What is tan 45°?

A

1

19
Q

What is tan 60°?

A

√3