SOLUTION: Please help me with this problem, I'm stumped! Find the values of the trigonometric functions of t from the given information. tan t= -4, csc t >0

Algebra.Com
Question 859090: Please help me with this problem, I'm stumped!
Find the values of the trigonometric functions of t from the given information.
tan t= -4, csc t >0

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find the values of the trigonometric functions of t from the given information.
tan t= -4, csc t >0
-----------------
tan is negative and csc is positive in QII where x is negative; y is positive.
----------
tan(t) = -4/1 = y/x imples that x = -1 and y = 4
r = sqrt(1+16) = sqrt(17)
-------------------------------
sin = y/r = 4/sqrt(17)
cos = x/r = -1/sqrt(17)
tan = y/x = -4
---------
csc = r/y = sqrt(17)/4
sec = r/x = -sqrt(17)
cot = x/y = -1/4
===========================
Cheers,
Stan H.

RELATED QUESTIONS

Need help solving this math problem with trigonometric functions: Find the values of... (answered by Alan3354)
Find the values of the trigonometric functions of t from the given information. Tan t =... (answered by ikleyn)
Find the values of the trigonometric functions of t from the given information. csc(t) = (answered by Theo,greenestamps)
Find the values of the trigonometric functions of t from the given information. csc(t)... (answered by Edwin McCravy)
Find the values of the remaining trigonometric functions if If tan t = 􀀀4 and... (answered by Alan3354)
Please help me to solve this problem Find the values of all six trigonometric functions... (answered by Fombitz)
Find the values of the trigonometric functions of t from the given information. tan t = (answered by ewatrrr)
Find the values of all the trigonometric functions from the given information. cos t... (answered by stanbon)
find the values of the trigonometric functions of t from the given information tan(t)=1/4 (answered by lwsshak3)