Unit Circle (Degrees) Flashcards by Sue VanHattum

sin 0°

y/r = 0/1 = 0

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sin 30°

y/r = 1/2 / 1 = 1/2 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

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sin 45°

y/r = √2/2 / 1 = √2/2 (show a △ with 45° in standard position)

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sin 60°

y/r = √3/2 / 1 = √3/2 (show a △ with 60° in standard position, with equilateral triangle cut in half)

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sin 90°

y/r = 1/1 = 1

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sin 120°

y/r = √3/2 / 1 = √3/2 (show the 60° reference △)

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sin 135°

y/r = √2/2 / 1 = √2/2 (show the 45° reference △)

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sin 150°

y/r = 1/2 / 1 = 1/2 (show the 30° reference △, with the equilateral triangle across the x-axis)

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sin 180°

y/r = 0/1 = 0

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sin 210°

y/r = -1/2 / 1 = -1/2 (show the 30° reference △, with the equilateral triangle across the x-axis)

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sin 225°

y/r = -√2/2 / 1 = -√2/2 (show the 45° reference △)

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sin 240°

y/r = -√3/2 / 1 = -√3/2 (show the 60° reference △)

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sin 270°

y/r = -1/1 = -1

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sin 300°

y/r = -√3/2 / 1 = -√3/2 (show the 60° reference △)

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sin 315°

y/r = -√2/2 / 1 = -√2/2 (show the 45° reference △)

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sin 330°

y/r = -1/2 / 1 = -1/2 (show the 30° reference △, with the equilateral triangle across the x-axis)

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cos 0°

x/r = 1/1 = 1

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cos 30°

x/r = √3/2 / 1 = √3/2 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

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cos 45°

x/r = √2/2 / 1 = √2/2 (show a △ with 45° in standard position)

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cos 60°

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x/r = 1/2 / 1 = 1/2 (show a △ with 60° in standard position, with equilateral triangle cut in half)

cos 90°

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x/r = 0/1 = 0

cos 120°

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x/r = -1/2 / 1 = -1/2 (show a △ with 60° in standard position, with equilateral triangle cut in half)

cos 135°

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x/r = -√2/2 / 1 = -√2/2 (show a △ with 45° in standard position)

cos 150°

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x/r = -√3/2 / 1 = -√3/2 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

cos 180°

x/r = -1/1 = -1

cos 210°

x/r = -√3/2 / 1 = -√3/2 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

cos 225°

x/r = -√2/2 / 1 = -√2/2 (show a △ with 45° in standard position)

cos 240°

x/r = -1/2 / 1 = -1/2 (show a △ with 60° in standard position, with equilateral triangle cut in half)

cos 270°

x/r = 0/1 = 0

cos 300°

x/r = -1/2 / 1 = -1/2 (show a △ with 60° in standard position, with equilateral triangle cut in half)

cos 315°

x/r = √2/2 / 1 = √2/2 = 1/√2 (show a △ with 45° inside the angle)

cos 330°

x/r = √3/2 / 1 = √3/2 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

tan 0°

y/x = 0/1 = 0

tan 30°

y/x = 1/2 / √3/2 = 1/√3 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

tan 45°

y/x = √2/2 / √2/2 = 1 (show a △ with 45° in standard position)

tan 60°

y/x = √3/2 / 1/2 = √3 (show a △ with 60° in standard position, with equilateral triangle cut in half)

tan 90°

1/0, which is undefined

tan 120°

y/x = √3/2 / -1/2 = -√3 (show a △ with 60° in standard position, with equilateral triangle cut in half)

tan 135°

y/x = √2/2 / -√2/2 = -1 (show a △ with 45° in standard position)

tan 150°

y/x = 1/2 / -√3/2 = -1/√3 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

tan 180°

y/x = 0/1 = 0

tan 210°

y/x = -1/2 / -√3/2 = 1/√3 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

tan 225°

y/x = -√2/2 / -√2/2 = 1 (show a △ with 45° in standard position)

tan 240°

y/x = -√3/2 / -1/2 = √3 (show a △ with 60° in standard position, with equilateral triangle cut in half)

tan 270°

y/x = -1/0, which is undefined

tan 300°

y/x = -√3/2 / 1/2 = -√3 (show a △ with 60° in standard position, with equilateral triangle cut in half)

tan 315°

y/x = -√2/2 / √2/2 = -1 (show a △ with 45° in standard position)

tan 330°

y/x = -1/2 / √3/2 = -1/√3 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

Unit Circle (Degrees) Flashcards

(48 cards)