SOLUTION: If sinx=3/5 and x is in quadrant 2, then what is the value of tan x/2? I cannot tell if i should use arcsin to solve this I am very confused

Question 771795: If sinx=3/5 and x is in quadrant 2, then what is the value of tan x/2? I cannot tell if i should use arcsin to solve this I am very confused
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
If sinx=3/5 and x is in quadrant 2, then what is the value of tan x/2? I cannot tell if i should use arcsin to solve this I am very confused
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You are working with a 3-4-5 reference right triangle in quadrant II where sin>0, cos<0, tan<0.
sinx=3/5
cosx=-4/5
Identity: tan(x/2)=(sinx)/(1+cosx)
=(3/5)/(1-4/5)=3/5/1/5=3
tan(x/2)=3
..
Calculator check:
tanx=-3/4
x=143.13�
x/2=71.565
tan 71.565�≈2.999...
exact value=3
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