SOLUTION: Find the values of the six trigonometric functions of θ with the given constraint. (If an answer is undefined, enter UNDEFINED.) Function Value Constraint csc θ = 4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the values of the six trigonometric functions of θ with the given constraint. (If an answer is undefined, enter UNDEFINED.) Function Value Constraint csc θ = 4      Log On


   



Question 717598: Find the values of the six trigonometric functions of θ with the given constraint. (If an answer is undefined, enter UNDEFINED.)
Function Value Constraint
csc θ = 4 cot θ < 0
sin θ =
cos θ =
tan θ =
csc θ =
sec θ =
cot θ =

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Function Value Constraint
csc θ = 4 cot θ < 0
---
theta is in QII where x is negative and y is positive
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Since csc = r/y = 4,
r = 4 and
y = 1
Then x = -sqrt[16-1] = -sqrt(15)
-------
sin θ = y/r = -1/4
cos θ = x/r = -sqrt(15)/4
tan θ = y/x = -1/sqrt(15)
csc θ = r/y = -4
sec θ = r/x = -4/sqrt(15)
cot θ = x/y = -sqrt(15)
=========================
Cheers,
Stan H.
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