SOLUTION: Find the exact value of cos x if sin x = 5/9 and x is in Quadrant 2

Question 806478: Find the exact value of cos x if sin x = 5/9 and x is in Quadrant 2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the exact value of cos t if sin t = 5/9 and t is in Quadrant 2
-------
sin = y/r
-----
If sin = 5/9, y = 5 and r = 9
----
Solve for "x":
x = sqrt[9^2-5^2] = sqrt(56)
But x is negative in QII so x = -sqrt(56)
-----
cos(t) = x/r = -sqrt(56)/9
--------------------------------
Cheers,
Stan H.

RELATED QUESTIONS
If cos x = -(1/3) in quadrant 3, find the exact value of sin... (answered by Alan3354)

suppose sin(x) = 3/5 with x in quadrant I, and cos(y) = 12/13 with y in quadrant IV. find (answered by lwsshak3)

If cos x = -2/3 and x terminates in quadrant 2 find the exact value of cos 2x, sin 2x,... (answered by lwsshak3)

If sin(x) = − 5 13 and x is in quadrant III, with 0° ≤ x < 360°, find the... (answered by greenestamps)

If sin(x)=-5/13 and x is in quadrant III, with 0° ≤ x < 360°, find the exact values... (answered by Edwin McCravy,ikleyn)

If cos x= -15/17 with x in quadrant III, find the exact value of sin 2x and the quadrant... (answered by MathLover1,MathTherapy)

If tan(x) = −40/9 and x is in quadrant IV, with 0° ≤ x < 360°, find the exact... (answered by ikleyn,MathLover1)

if x is in the first and y in the third quadrant, sinx=3/5, and cosy=-5/13, find the... (answered by lwsshak3)

Find the exact value of sin (x+y) if sin x = 4/5 in Quadrant II and tan y = 12/5 in... (answered by lwsshak3)