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