SOLUTION: Im stuck on this problem Given that sinӨ = 0.2419 and that Ө is in quadrant I, find sin [Ө/2]

Algebra ->  Trigonometry-basics -> SOLUTION: Im stuck on this problem Given that sinӨ = 0.2419 and that Ө is in quadrant I, find sin [Ө/2]      Log On


   

Question 875567: Im stuck on this problem
Given that sinӨ = 0.2419 and that Ө is in quadrant I, find sin [Ө/2]
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Given that sinӨ = 0.2419 and that Ө is in quadrant I, find sin [Ө/2]
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Use half-angle formula for sin: sin%28x%2F2%29=sqrt%28%281-cosx%29%2F2%29
cos%28theta%29=sqrt%281-sin%5E2%28theta%29%29=sqrt%281-.2419%5E2%29=sqrt%280.9415%29=.9703

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Calculator check:
sin Ө=.2419
Ө=13.9987˚
Ө/2=6.9993˚
sinӨ/2=0.122