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anonymous
 one year ago
prove the following trigonometric identities. 2/(rt(3)cos(x)+sin(x))=sec(pi/6x)
tan(x/2)=sin(x)/(1+cos(x))
anonymous
 one year ago
prove the following trigonometric identities. 2/(rt(3)cos(x)+sin(x))=sec(pi/6x) tan(x/2)=sin(x)/(1+cos(x))

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 2 }{\sqrt{3} \cos(x)+\sin(x)}=\sec(\pi/6x) \tan(x/2)=\frac{ \sin (x) }{1+\cos (x) } \] is that your question?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no they are two separate equations. 2/(rt(3)cos(x)+sin(x))=sec(pi/6x) tan(x/2)=sin(x)/(1+cos(x))

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I will do only one, which one do you like?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you can do either one if you want

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1for the second \[tan\frac{x}{2}=\frac{sinx}{1+cosx}\] try this \[tan\frac{x}{2}=\frac{2sin\frac{x}{2}cos \frac{x}{2}}{1+(12sin^2 \frac{x}{2})}\]

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0sec (pi/6  x) = 1 / (sqrt3/2 cos x + sin pi/6 sin x) = 2 / (sqrt 3 cos + sin x)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0* I missed out the second step which is = 1 / (cos pi/6 cos x + sin pi/6 sin x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 2 }{\sqrt{3} \cos(x)+\sin(x)}=\sec(\pi/6x)\] \[\frac{ 2 }{\sqrt{3} \cos(x)+\sin(x)}=\frac{ 1 }{ \cos{(\pi/6x)} }\] using:cos(uv)=cos u cos v+sin u sin v \[\frac{ 2 }{\sqrt{3} \cos(x)+\sin(x)}=\frac{ 1 }{ \cos{(\pi/6) \times \cos(x)}+\sin{(\pi/6) \times \sin(x)} }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i got that far ASAAD123 put i didn't know what to do after that

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0the denominator = cos (pi/6  x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wouldn't you also change sin(pi/6) to 1/2

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0no its the sin of a compound angle (pi/6  x) not sin pi/6

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so how do you get the sides to equal

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0i had to use sin pi/6 = 1/2 because i started with RHS and converted to LHS whereas ASAAD did the reverse

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0with these identities you choose one side and try to convert it to the other. This proves the identity.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i think i understand it now

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0so you can use asaad's or mine. Either would do.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0There is only more more step to prove IrishBoy's solution

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i already got irish boy's solution
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