Question

Please help!! Need help with five questions out of of 20 questions

Find the value for tan(x/2) if the following conditions hold: cos(x) = 5/11 and x in in Quadrant IV

A. - 2sqrt(6) / 3
B. sqrt(6)/4
C. - sqrt(6)/4
D. 2sqrt(6) / 3

Answer 1

\[\cos x=\frac{ 1-\tan ^2\frac{ x }{ 2 } }{ 1+\tan ^2\frac{ x }{ 2 } }\]

Answer 2

plug the value of cos x and cross multiply

Answer 3

\[\tan \left( \frac{ x }{ 2 } \right)=\frac{ 1-\cos x }{ \sin x }\]

Answer 4

you can find sin x from pythagorean theorem