SOLUTION: (toughness- 6.5/10) Question: Suppose " 0 < X < pi/2 " and " sin X = 5/11 ". Evaluate "cos X" . Express your answer as a fraction.
Algebra ->
Trigonometry-basics
-> SOLUTION: (toughness- 6.5/10) Question: Suppose " 0 < X < pi/2 " and " sin X = 5/11 ". Evaluate "cos X" . Express your answer as a fraction.
Log On
Question 281086: (toughness- 6.5/10) Question: Suppose " 0 < X < pi/2 " and " sin X = 5/11 ". Evaluate "cos X" . Express your answer as a fraction. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Suppose " 0 < X < pi/2 " and " sin X = 5/11 ". Evaluate "cos X" . Express your answer as a fraction.
---------------------
If sin(x) = 5/11, y = 5 and r = 11
---
Solve 11^2 = 5^2 + k^2 where cos(x) = k/11
k^2 = 121-25
k = sqrt(96) = 9.8
----------------------
Then cos(x) = 9.8/11 = 0.8907
==================================
Cheers,
Stan H.
(