SOLUTION: Use the information given about angle theta to find the exact value of cosine theta/2
sin theta=3/5 and 0<theta<pie/2
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Question 516629: Use the information given about angle theta to find the exact value of cosine theta/2
sin theta=3/5 and 0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
First use the Pythagorean Identity to find 
.
But recall 
, hence 
is a 1st quadrant angle, therefore the cosine is positive.
Now use the half angle formula for cosine:
But recall , hence 
, is also a 1st quadrant angle, therefore the cosine is positive.
After rationalizing the denominator. One last thing: pie is dessert, pi is the lower case Greek letter denoting the ratio between the circumference and the diameter of a circle.
John
My calculator said it, I believe it, that settles it
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