SOLUTION: Find the five trigonometric functions values using the fundamental identities give cot(x)=4/3

Algebra.Com
Question 824411: Find the five trigonometric functions values using the fundamental identities give cot(x)=4/3
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find the five trigonometric functions values using the fundamental identities give cot(x)=4/3
-----
Since cot is positive, x could be in QI or in QIII.
I'll assume that x is in QI where x, y, and r are all positive.
----------------------
cotangent = x/y
---
Since cot(x) = 4/3, x = 4 and y = 3.
Then r = sqrt[4^2+3^2] = 5
------
Answer:
sin = y/r = 3/5
cos = x/4 = 4/5
tan = y/x = 3/4
csc = r/y = 5/3
sec = r/x = 5/4
cot = x/y = 4/3
====================
Cheers,
Stan H.
====================

RELATED QUESTIONS

Use fundamental identities to find the values of the trigonometric functions (as decimal... (answered by lwsshak3)
If tan θ = {{{ 3/2 }}} & cos θ < 0, use the fundamental identities to evaluate (answered by ikleyn)
simplify using the fundamental identities-... (answered by stanbon)
Let cot x = 5/12, where pi≤x<3pi/2, find the values of the other five trigonometric... (answered by Boreal)
find the values of the other five trigonometric functions cot theta= -3/7, pi/2 <... (answered by Alan3354)
#1) If tan of theta = (6/5) and cos of theta < 0, use the fundamental identities to... (answered by stanbon)
The book says: In each exercise, use identities to find the exact values at α for... (answered by Alan3354)
(Trigonometric identities) Find the value of each expression using the given... (answered by lwsshak3)
Find the values of the trigonometric functions of "theta" from the given information.... (answered by Fombitz)