SOLUTION: Find the values of the trigonometric functions of θ from the information given.
cos θ = − 3/4, tan θ < 0
Algebra ->
Trigonometry-basics
-> SOLUTION: Find the values of the trigonometric functions of θ from the information given.
cos θ = − 3/4, tan θ < 0
Log On
Question 510651: Find the values of the trigonometric functions of θ from the information given.
cos θ = − 3/4, tan θ < 0 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Find the values of the trigonometric functions of θ
from the information given.
cos θ = − 3/4, tan θ < 0
-----
Cos negative and tan negative means theta is in the 2nd Quadrant
where x is negative and y is positive
------
cos = x/r = -3/4 implies that x = -3 and r = 4
---
y = sqrt[r^2-x^2] = sqrt[4^2-3^2] = sqrt(7)
---
sin = y/r = sqrt(7)/4
cos = x/r = -3/4
tan = y/x = sqrt(7)/-3 = -sqrt(7)/3
----
csc = r/y = 4/sqrt(7)
sec = r/x = -4/3
cot = x/y = -3/sqrt(7)
=======================
Cheers,
Stan H.
============
(