SOLUTION: find sin x/2 in radians, given that sinx =1/4 and x terminates in 0 less than x less than pi/2

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Question 692961: find sin x/2 in radians, given that sinx =1/4 and x terminates in 0 less than x less than pi/2
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find sin x/2 in radians, given that sinx =1/4 and x terminates in 0 less than x less than pi/2
sinx=1/4=opp side/hypotenuse
adj side=√(4^2-1^2)=√(16-1)=√15
cosx=√15/4
sin x/2=√[(1-cosx)/2]=√[(1-√15/4)/2]
..
calculator check:
sinx=(1/4)
x≈0.2527..
x/2≈0.1263..
sin(0.1263)≈0.126..
√[(1-√15/4)/2]≈0.126..