Question

Find sin(x) if cos(x)=a/a+2.

Answer 1

a) \[\frac{ 2\sqrt{a+1} }{a+2 }\]
b) \[\frac{ 4(a+1) }{a+2 }\]
c) \[\frac{ 2\sqrt{a+1} }{a }\]
d) \[\frac{ 4(a+1) }{ a }\]

Answer 2

e) \[\frac{ \sqrt{a+1} }{ 2a }\]

Answer 3

\[\sin ^2x+\cos ^2x=1\]

Answer 4

\[\sin ^2x+(\frac{a}{a+2})^2=1\]

Answer 5

\[\sin ^2x=1-\frac{a^2}{(a+2)^2}=\frac{(a+2)^2-a^2}{(a+2)^2}=\]

Answer 6

\[\frac{a^2+4a+4-a^2}{(a+2)^2}=\frac{4(a+1)}{(a+2)^2}\]

Answer 7

\[\sin x=\frac{2\sqrt{a+1}}{a+2}\]

Answer 8

Thank you so much!

Answer 9

yw