SOLUTION: Use the given information to find the values of the remaining five trigonometric functions. tan x = &#8722;8, &#960; 2 < x < &#960; sin x, cos x, csc x, sec x, & cot x

Algebra ->  Trigonometry-basics -> SOLUTION: Use the given information to find the values of the remaining five trigonometric functions. tan x = &#8722;8, &#960; 2 < x < &#960; sin x, cos x, csc x, sec x, & cot x      Log On


   

Question 961195: Use the given information to find the values of the remaining five trigonometric functions.
tan x = −8,
π
2 < x < π
sin x, cos x, csc x, sec x, & cot x
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use the given information to find the values of the remaining five trigonometric functions.
tan t = −8,
pi/2 < t < π
That is the 2nd Quadrant where x is negative and y is positive.
---------------------------------
Since tan(t) = y/x so y = 8 and x = -1
Then r = sqrt[8^2+1^2] = sqrt{65)
-------
sin t= y/r , cos t = x/r , csc(t) = r/y, sec(t) = r/x, & cot(t) = x/y
-----
Cheers,
Stan H.
----------------