SOLUTION: find the exact value of sin 20 if son0= 4/5 andquadrant I 0 is in quadrant 1

Algebra.Com
Question 1078612: find the exact value of sin 20 if son0= 4/5 andquadrant I 0 is in quadrant 1
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
find the exact value of sin 20 if sin0= 4/5 and 0 is in quadrant 1
----------------------
Since sin(t) = 4/5 y = 4 and r = 5
Then x = sqrt[r^2-y^2] = sqrt[25-16] = 3
So cos(t) = 3/5
------
Ans: sin(2t) = 2*sin(t)*cos(t) = 2(4/5)(3/5) = 24/25
-------
Cheers,
Stan H.
--------------

RELATED QUESTIONS

find the exact value of sin 20 given that cos 0 =1213 and 0 is in quadrant... (answered by Alan3354)
If sin 0 = 4/5, what is the value of cos 0 in quadrant 1? (answered by jim_thompson5910)
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)
find the exact value: sin (theta) = 4/5 lies in quadrant 1 , find cos... (answered by jsmallt9)
if cos theta = 1/4 in quadrant IV find the exact value of sin( theta -... (answered by lwsshak3)
Find the exact value of tan0, given that sin0=1/4 and 0 is in quadrant... (answered by Alan3354)
Find the exact value of sin θ, if cos θ = 4/5 and θ lies in quadrant... (answered by Alan3354)
if sin(theta)=5/6, theta in quadrant 2, find the exact value of tan... (answered by lwsshak3)
if sin theta=(1/4), theta in quadrant II, find the exact value of... (answered by lwsshak3)