Trigonometric Functions of an Angle

[andie]

Given the point (-4,10), the directions say that that point is on the terminal side of an angle in standard position.
We need to determine the exact values of the six trigonometric functions of the angle.

I know the answers are:
sin?= 5?(29)/9
cos?= -2?(29)/29
tan?= -5/2
csc?= ?(29)/5
sec?= -?(29)/2
cot?= -2/5

We were given the question and answers, but we had to show the work on how to get them.
So, what I need to know is how to get those answers.

 

[skeeter]

you were given a the \(\displaystyle (x,y)\) coordinates for a point on the terminal side of the angle in standard position.

you need one more value, \(\displaystyle r = \sqrt{x^2 + y^2}\)

\(\displaystyle \cos{\theta} = \frac{x}{r}\)

\(\displaystyle \sin{\theta} = \frac{y}{r}\)

\(\displaystyle \tan{\theta} = \frac{y}{x}\)

the other three trig ratios are reciprocals of the above ratios.

 

[andie]

oh, i get it now.
I forgot about the r value.
thank you!