SOLUTION: What are the remaining trigonometric functions of θ, if cos θ = -3/5 and sin θ > 0? Proceeding from 4/5. Thanks!
Algebra.Com
Question 1062986: What are the remaining trigonometric functions of θ, if cos θ = -3/5 and sin θ > 0? Proceeding from 4/5. Thanks!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What are the remaining trigonometric functions of θ, if cos θ = -3/5 and sin θ > 0? Proceeding from 4/5. Thanks!
------
Since cos is negative and sin is positive, the angle is in QII
where x is negative and y is positive.
----------------------
Since cos = x/r, x = -3 and r = 5
Then y = sqrt[5^2-3^2] = sqrt[16] = 4
-------
sin = y/r = 4/5
cos = x/r = -3/5
tan = y/x = -4/3
---
csc = r/y = 5/4
sec = r/x = -5/3
cot = x/y = -3/4
---------------------
Cheers,
Stan H.
---------------
RELATED QUESTIONS
What are the 5 remaining trigonometric functions of θ, given that cos θ = {{{... (answered by Alan3354,MathTherapy,ikleyn)
What are the 5 remaining trigonometric functions of θ, given that cos θ = {{{... (answered by Boreal)
What are the 5 remaining trigonometric functions of θ, If it's stated that cos... (answered by ikleyn)
What are the four remaining trigonometric functions of θ , If it's stated that cos... (answered by ikleyn,TeachMath)
Find the remaining trigonometric functions of θ if csc(θ) = 17/8 and... (answered by stanbon)
If secθ= 4/3 and θ terminates in Quadrant IV, find the exact values for all six (answered by lwsshak3)
9. Find the values of the six trigonometric functions of the acute angle in standard... (answered by Fombitz)
find the exact value of the remaining trigonometric functions:
1. cotθ = 12/5,... (answered by lwsshak3)
Find the exact value of each of the remaining trigonometric functions of θ.
cos... (answered by lwsshak3)