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

This Question is Closed

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

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

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

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

katherine.ok
 2 years 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
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0that confused me waay more ^^

completeidiot
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0work left side separately work right side separately show both are equal

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

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

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

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

ganeshie8
 2 years 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
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ adj }{ hyp }*\frac{ opp }{ adj}\] im really confused :/

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

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

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

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

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

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

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

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

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

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

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