SOLUTION: find sin(x/2) cos(x/2) tan(x/2) from given info
csc(x) = 7, 90° < x < 180°
sin(x/2)=
cos(x/2)=
tan(x/2)=
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Question 1160203: find sin(x/2) cos(x/2) tan(x/2) from given info
csc(x) = 7, 90° < x < 180°
sin(x/2)=
cos(x/2)=
tan(x/2)=
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ 7\ \Right\ \sin(x)\ =\ \frac{1}{7})
\ =\ \frac{1}{49})
\ =\ 1)
\)\ =\ 1)
\ =\ \frac{48}{49})
\ =\ \pm\frac{4\sqrt{3}}{7})
But \ <\ 0)
\ =\ -\frac{4\sqrt{3}}{7})
Then
\ =\ \pm\sqrt{\frac{1\,+\,\cos(\varphi)}{2}})
\ =\ \pm\sqrt{\frac{1\,-\,\cos(\varphi)}{2}})
\ =\ \frac{1\,-\,\cos(\varphi)}{\sin(\varphi)})
You can do the rest of the arithmetic yourself. Hint: 
John
My calculator said it, I believe it, that settles it
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