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highschoolmom2010
 one year ago
Use what you know about trigonometric ratios to show that this equation is
an identity.
highschoolmom2010
 one year ago
Use what you know about trigonometric ratios to show that this equation is an identity.

This Question is Closed

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0Sin (x)=cos (x) * tan (x)

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0doesnt make sense to me

katherine.ok
 one year ago
Best ResponseYou've already chosen the best response.2you know that tanx = sinx/ cosx/

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0substitute the sin cos tan wid their ratios (opp, adj, hyp)

katherine.ok
 one year ago
Best ResponseYou've already chosen the best response.2so sub tanx= sinx/ cosx. this yields left side. left side= right side. QED

katherine.ok
 one year ago
Best ResponseYou've already chosen the best response.2tanx= sinx/ cos x because tanx by definition is opp/ adj. sinx= opp/ hyp cos= adj/hyp.

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0that confused me waay more ^^

completeidiot
 one year ago
Best ResponseYou've already chosen the best response.0just a note you can use frac{a}{b} in equations to make fractions ex. \[\frac{a}{b}\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0work left side separately work right side separately show both are equal

completeidiot
 one year ago
Best ResponseYou've already chosen the best response.0\[\tan x = \frac{\sin x}{\cos x}\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0left side : sin x = opp/hyp (1)

katherine.ok
 one year ago
Best ResponseYou've already chosen the best response.2Okay, i will take it really slowly.

katherine.ok
 one year ago
Best ResponseYou've already chosen the best response.2sinx= opp/ hyp= left side.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0take the right side, substitute opp/adj/hyp, simplify and see if u can get the same as left side

katherine.ok
 one year ago
Best ResponseYou've already chosen the best response.2cosx= adj/ hyp; tan x= opp/adj . cosx* tanx= (adj/hyp) (opp/adj); notice adj can be cancelled out> opp/ hyp= sinx. Notice it is same as sinx= left side.

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ adj }{ hyp }*\frac{ opp }{ adj}\] im really confused :/

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0keep going, one more step. confusion wil go away

katherine.ok
 one year ago
Best ResponseYou've already chosen the best response.2top adj can be cancelled out with bottom adj, and you are left with opp/hyp= sinx

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0ok so i was almost there \[\sin (x)=\frac{ opp }{ hyp }\]

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0brb yall meh baby is hungry

phi
 one year ago
Best ResponseYou've already chosen the best response.0the other way is to say \[ \tan(x) = \frac{\sin(x)}{\cos(x)}\] replace tan(x) in \[ \sin(x)= \cos(x) \tan(x) \\ \sin(x)= \cos(x)\frac{\sin(x)}{\cos(x)}\] then notice that cos(x)/cos(x) is 1 you get \[ \sin(x)=\sin(x) \]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0Right hand side : \(\large \frac{ adj }{ hyp }*\frac{ opp }{ adj} \) \(\large \frac{ \cancel{adj} }{ hyp }*\frac{ opp }{ \cancel{adj}} \) \(\large \frac{ opp }{ hyp } \) (2)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0from (1) and (2), left hand side = right hand side. so its an identity.

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0oh ok so how do i write it into words

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0you wanto write math into words ? hmm

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0just showing the proof wont do ha ?

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0no i have to write it into words :(

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0okay then describe wat we just did, you may start like below : since left hand side is sinx, and we knw that sinx = opp/hyp, proving right hand side simplifies to opp/hyp is sufficient to prove that given equation is an identity. right hand side we have cosx * tanx. substituting their respective trig ratios, we get adj/hyp * opp/adj....

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0np, im sure you can conclude :)

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0yea i think i can :D

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.0@phi @katherine.ok @ganeshie8 thank you all for for help
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