Thread: I would appreciate it if someone could check my answers regarding radians/sin/cos/tan

I have to graph points for 'sin, cos, & tan', by converting the radian values into decimals, which are all of the points that will be plotted on the X-axis, and then find the Ratio decimal, points plotted on the Y-axis.


I tried making this appear in columns but had no success, so just image that there are three columns here and the Radians are in
in one column, its Decimal Approximation is in the second column, and its Ratio Decimal Approximation is in another column.
The first two columns stay the same for all three Trig functions the only one that changes are the Ratio Decimal Approximation.
M teacher told me that each of them are suppose to form one of the four function graphs that i learned in Pre-Cal. I know the first one forms two 'parabolas', and the last one for tangent is suppose to form a 'asympote', however that doesn't come out that way. I'm not sure about Cosine. I hope the way i set this up doesn't confuse anyone.


Sin:

Radians

0

pi/6

pi/4

pi/3

pi/2

2pi/3

3pi/4

5pi/6

pi

7pi/6

5pi/4

4pi/3

3pi/2

5pi/3

7pi/4

11pi/6

2pi

-----------------------------------------

Radians converted into Decimals: (X-axis for all three Trig. functions)


0



.52


.79


1.05


1.57


2.09


2.36


2.62


3.14


3.67


3.93


4.19


4.71


5.24


5.50


5.76


6.28

--------------------------------------------------------------------------------------------------------------------




Sine : Ratio Decimal Approximation(Y-axis)


0


.5


.71


.87


1


.87


.71


.5


0


-.5


-.71


-.87


-1


-.87


-.71


-.5


0


--------------------------------------------------------------------------

Cosine: Ratio Decimal Approximation: (Y-axis)

1

.87

.71

.5

0

-.5

-.71

-.87

-1

-.87

-.71

-.5

0

.5

.71

.87

1

--------------------------------------------------------------------------------------------------------------------

Tangent: Ratio Decimal Approximation (Y-axis)


0

.58

1

1.73

nothing

-1.73

-1

-.58

0

.58

1

1.73

nothing

-1.73

-1

-.58

0

Seems good.

Okay good but i'm a bit confused on how my graphs turned out. I know the first one came out to be a parabola (for Sine), but with the last ones i'm not sure on what to make of it, maybe i just graphed it wrong idk. Cosine looks to me like two exponetial graphs about to intercept each other and the other one (for tangent), looks to me like polynomial functions.

Here, your graphs should be similar to:

sin(x) : Plot y = sin(x) (x from 0 to 7 - Wolfram|Alpha)

cos(x) : Plot y = cos(x) (x from 0 to 7 - Wolfram|Alpha)

tan(x) : Plot y = tan(x) (x from 0 to 7 - Wolfram|Alpha)

For tan, the vertical line is simply the asymptote.

Okay, thank you once again. I'm just going to have to make a larger graph in order to get it to be as accurate as your images, but i did get pretty much the same thing.