SOLUTION: Find the exact value of sin(t/2) if csc(t)=5/4 and t is an acute angel?? Please show work all the way out. So confused!

Question 762238: Find the exact value of sin(t/2) if csc(t)=5/4 and t is an acute angel?? Please show work all the way out. So confused!
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the exact value of sin(t/2) if csc(t)=5/4 and t is an acute angle?
***

csc(t)=5/4
sin(t)=4/5
cos(t)=3/5 (working with 3-4-5 right triangle)

Calculator check:
sin(t)=4/5
t≈53.13�
t/2≈26.565�
sin(t/2)≈sin(26.565�)�≈0.4472
exact value=√20/10≈0.4472

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