# Precalc +: Terminal Point Trigonometry

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## Tags and Description

### 34 Terms

1

√x^2 + y^2, where (x,y) is a point on the terminal side of an angle Θ in standard point (always positive)

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2

Sin (Θ)

y/r

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3

Cos (Θ)

x/r

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4

Tan (Θ)

y/x

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5

Csc (Θ)

r/y

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6

Sec (Θ)

r/x

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7

Cot (Θ)

x/y

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8

Terminal Point

Point on a terminal ray that intersects the circle

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9

Sin (0°)

0

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10

Cos (0°)

1

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11

Tan (0°)

0

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12

Csc (0°)

Undefined

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13

Sec (0°)

1

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14

Cot (0°)

Undefined

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15

Sin (90°)

1

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16

Cos (90°)

0

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17

Tan (90°)

Undefined

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18

Csc (90°)

1

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19

Sec (90°)

Undefined

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20

Cot (90°)

0

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21

Trig Ratios for angles above 90° or below 0°

Same as the Trig Ratio for the reference angle, but the signs for the ratio change. (+/-x, +/-y) have the same radii, and therefore have the same trig ratios, just with different signs.

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22

All Students Take Calculus

Acronym used to remember which Trigonometric functions are positive in which quadrant. In quadrant 1, __a__ll ratios are positive. In quadrant 2, __s__ine and its reciprocal function cosecant are positive. In quadrant 3, __t__angent and its reciprocal function cotangent are positive. In quadrant 4, __c__osine and its reciprocal function secant are positive.

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23

Sin (180°)

0

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24

Cos (180°)

-1

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25

Tan (180°)

0

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26

Csc (180°)

Undefined

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27

Sec (180°)

-1

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28

Cot (180°)

Undefined

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29

Sin (270°)

-1

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30

Cos (270°)

0

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31

Tan (270°)

Undefined

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32

Csc (270°)

-1

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33

Sec (270°)

Undefined

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34

Cot (270°)

0

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