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Its either I and III or I,II, and III
So either option C or D
I leaning towards C more though
\[\frac{ \cos 2x }{ \cos x}=\frac{ \cos ^2x-\sin ^2x }{ \cos x }=\frac{ \cos ^2x }{ \cos x }-\frac{ \sin ^2x }{ \cos x }\] \[=\cos x-\left( \sin x \right)\left( \tan x \right)\] so 1. \[1+\cos 2x=2\cos ^2x\] \[\cos 2x=2\cos ^2x-1\] divide by cos x \[\frac{ \cos 2x }{ \cos x }=\frac{ 2\cos ^2x }{ \cos x }-\frac{ 1 }{ \cos x}\] \[=2\cos x-\sec x\] so 111 answer 1 and 111 C
Thanks you have great explanations and i love that u show your work lifesaver fr
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@surjithayer wrote:
\[\frac{ \cos 2x }{ \cos x}=\frac{ \cos ^2x-\sin ^2x }{ \cos x }=\frac{ \cos ^2x }{ \cos x }-\frac{ \sin ^2x }{ \cos x }\]
\[=\cos x-\left( \sin x \right)\left( \tan x \right)\]
so 1.
\[1+\cos 2x=2\cos ^2x\]
\[\cos 2x=2\cos ^2x-1\]
divide by cos x
\[\frac{ \cos 2x }{ \cos x }=\frac{ 2\cos ^2x }{ \cos x }-\frac{ 1 }{ \cos x}\]
\[=2\cos x-\sec x\]
so 111
answer 1 and 111
C
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