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67 Cards in this Set
- Front
- Back
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sin t
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=y
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cos t
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=x
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tan t
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= y/x
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csc t
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1/y
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sec t
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= 1/x
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cot t
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= x/y
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Pythagorean theorem
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c^2 = a^2 + b^2
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3Π
-- 2 = degrees? |
270˚
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0 (radians) @ sin Ө
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0
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0(radians) @ Cos Ө
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1
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0 (radians)@ tan Ө
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0
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0 (radians)@ csc Ө
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Not defined
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0 (radians)@ sec Ө
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1
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0 (radians)@ cot Ө
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Not defined
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Π/2 @ sin Ө
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1
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Π/2 @ Cos Ө
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0
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Π/2 @ tan Ө
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Not defined
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Π/2 @ csc Ө
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1
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Π/2 @ sec Ө
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Not defined
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Π/2 @ cot Ө
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0
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Π/2 = degrees?
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90˚
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Π = degrees?
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180˚
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3Π
-- 2 = @ sin |
-1
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3Π
-- 2 = cos |
0
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3Π
-- 2 = @ tan |
Not defined
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3Π
-- 2 = @ csc |
-1
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3Π
-- 2 = @ sec |
Not defined
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3Π
-- 2 = @ cot |
0
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Π = @ sin
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0
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Π = @ cos
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-1
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Π = @ tan
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0
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Π = @ csc
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Not defined
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Π = @ sec
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-1
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Π = @ cot
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Not defined
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Π
-- 6 = @ sin |
1/2
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Π
-- 6 = @ cos |
√3
-- 2 |
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Π
-- 6 = @ tan |
√3
-- 3 |
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Π
-- 6 = @ csc |
2
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Π
-- 6 = @ sec |
2√3
--- 3 |
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Π
-- 6 = @ cot |
√3
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Π
-- 4 = @ sin |
√2
-- 2 |
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Π
-- 4 = @ cos |
√2
-- 2 |
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Π
-- 4 = @ tan |
1
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Π
-- 4 = @ csc |
√2
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Π
-- 4 = @ sec |
√2
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Π
-- 4 = @ cot |
1
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Π
-- 3 = @ sin |
√3
-- 2 |
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Π
-- 3 = @ cos |
1/2
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Π
-- 3 = @ tan |
√3
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Π
-- 3 = @ csc |
2√3
--- 3 |
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Π
-- 3 = @ sec |
2
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Π
-- 3 = @ cot |
√3
-- 3 |
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Π
- 6 = degrees? |
30˚
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Π
- 4 = degrees? |
45˚
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Π
- 3 = degrees? |
60˚
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Quadrant 1
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(Sin, csc)= positive
(Cos, sec)=positive (tan, Cot)=positive |
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Quadrant 2
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(Sin, csc)= positive
(Cos, sec)=Negative (tan, Cot)=Negative |
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Quadrant 3
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(Sin, csc)= Negative
(Cos, sec)=Negative (tan, Cot)=positive |
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Quadrant 4
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(Sin, csc)= Negative
(Cos, sec)=positive (tan, Cot)=Negative |
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Cos Ө
(Fundamental Id's) |
1
--- Sec Ө |
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Tan Ө
(Fundamental Id's) |
sin Ө
----- cos Ө |
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csc Ө
(Fundamental Id's) |
1
--- sin Ө |
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sec Ө
(Fundamental Id's) |
1
--- cos Ө |
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cot Ө
(there are 2) (Fundamental Id's) |
cos Ө
----- sin Ө or 1/tan Ө |
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sin^2 Ө + Cos^2 Ө
(Fundamental Id's) |
= 1
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tan^2 Ө + 1
(Fundamental Id's) |
= sec^2 Ө
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Cot Ө + 1
(Fundamental Id's) |
= csc^2 Ө
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