SOLUTION: Please help me solve this equation using half angle formula: sin 22 degrees 30'
I am not sure where to begin solving.
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Question 583821: Please help me solve this equation using half angle formula: sin 22 degrees 30'
I am not sure where to begin solving.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
Then 
and \ =\ \frac{\sqrt{2}}{2})
\ =\ \pm\sqrt{\frac{1\ -\ \cos(\varphi)}{2}})
so since both 22.5 and 45 degrees are first quadrant angles making the sin positive:
\ =\ \sqrt{\frac{1\ -\ \cos(45)}{2}}\ =\ \sqrt{\frac{1\ -\ \frac{\sqrt{2}}{2}}{2}} =\ \sqrt{\frac{2\ -\ \sqrt{2}}{4}})
John
My calculator said it, I believe it, that settles it
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