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 one year ago
Verify that each equation is an identity by showing that each expression on the left simplifies to 1.
 one year ago
Verify that each equation is an identity by showing that each expression on the left simplifies to 1.

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highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1no where im lost

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0take left hand side expression, plugin tanA = sinA/cosA

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1im still really confused

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0did they teach you ' tan = sin/cos' yet ?

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1so im learning it here

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0ok, dont learn it here. wait until they start them officially lets do it the known way

phi
 one year ago
Best ResponseYou've already chosen the best response.1they may want you to use the definitions of sin(A)= opp/adj = a/c and tan(A)= a/b

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0dw:1376501404557:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0exactly, look at above triangle, first find sinA, and tanA

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1dw:1376501580565:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0yes, find tanA also, and plug them in left side of given expression

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1assuming that is alpha....

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0uhh this time, thats 'a', sorry

phi
 one year ago
Best ResponseYou've already chosen the best response.1they are using lower case for the side and capital for the angle opposite that side

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1\[\tan A=\frac{ a }{ b }\] oh then let me fix sin A

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1\[\sin A=\frac{ a }{ c }\]

phi
 one year ago
Best ResponseYou've already chosen the best response.1now what is \[ \frac{1}{\sin A} \]

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1@phi im not sure

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0plug them directly, we can simplify after pluggin in may be

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ 1 }{ \frac{ a }{ c} }\]

phi
 one year ago
Best ResponseYou've already chosen the best response.1the short way is "flip" both sides of sin A = a/c the long way is go through these steps multiply both sides by c: c sin A = a divide both sides by a (c sin A)/a = 1 divide both sides by sin A c/a = 1/ sin A

phi
 one year ago
Best ResponseYou've already chosen the best response.1or do what you did , and multiply top and bottom by c/a

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1that ^^kinda confused me

phi
 one year ago
Best ResponseYou've already chosen the best response.1\[ \frac{ 1\cdot \frac{c}{a} }{ \frac{ a }{ c} \cdot \frac{c}{a}} \] the idea is you can multiply top and bottom by the same number (or fraction) now simplify

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ \frac{ c }{ a } }{ 1 }\]

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes, and anything divided by 1 is itself

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1co the left side =c/a

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes. (and remember the short cut) if you have a/b = c/d then b/a = d/c (flip both sides) in this case sin A = a/c 1/sinA = c/a

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1right side = b/a then

phi
 one year ago
Best ResponseYou've already chosen the best response.1now what is \[ \frac{1}{\sin^2 A} =\frac{1}{\sin A} \cdot \frac{1}{\sin A} \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1you know 1/sin A = c/a so you know 1/sin A * 1/sinA = (c/a)*(c/a) \[ \frac{c}{a}\cdot \frac{c}{a}\]

phi
 one year ago
Best ResponseYou've already chosen the best response.1which is top times top and bottom times bottom

phi
 one year ago
Best ResponseYou've already chosen the best response.1another way to do this is remember \[ \sin^2 A \text{ means } \sin A \cdot \sin A \] you know sin A= a/c so \[ \sin^2 A \text{ means } \sin A \cdot \sin A = \frac{a}{c}\cdot \frac{a}{c}=\frac{a\cdot a}{c\cdot c}=\frac{a^2}{c^2}\]

phi
 one year ago
Best ResponseYou've already chosen the best response.1and \[ \frac{1}{\sin^2 A} = \frac{c^2}{a^2} \] using the flip rule

phi
 one year ago
Best ResponseYou've already chosen the best response.1I should mention that \[ \left(\sin A \right)^2 \text{ is often written as }\sin^2 A \] then mean the same thing. (sin A) times itself: (sin A)(sin A)

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1im following and writing too

phi
 one year ago
Best ResponseYou've already chosen the best response.1so far you have \[ \frac{1}{(\sin A)^2 }= \frac{c^2}{a^2} \] now what is 1/(tan A)^2 ?

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.11 sec ill write it out on paper and then ^^

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ 1 }{ \tan A^2} \]=\[\frac{ b^2 }{ a^2 }\]

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1well i wrote tan A ^2 wrong

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes, so the equation is \[ \frac{c^2}{a^2} \frac{b^2}{a^2} = 1 \] re: tan A^2 yes, you should put parens in (tan A)^2. but we know what you mean now, the fractions on the left side have a common denominator can you rewrite as one fraction ?

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ c^2b^2 }{ a }=1\]

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1i knew i forgot something

phi
 one year ago
Best ResponseYou've already chosen the best response.1now, what is the pythagoras equation for this problem ?

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1what does that mean

phi
 one year ago
Best ResponseYou've already chosen the best response.1do you know the pythagorean theorem ?

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1oh yea a^2+b^2=c^2

phi
 one year ago
Best ResponseYou've already chosen the best response.1and what do you get if you subtract b^2 from both sides ?

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1c^2/a^2=1b^2

phi
 one year ago
Best ResponseYou've already chosen the best response.1no, that is too complicated. start with a^2+b^2=c^2 and write b^2 on both sides and simplify

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1a^2+b^2b^2=c^2b^2 a^2=c^2b^2

phi
 one year ago
Best ResponseYou've already chosen the best response.1now use that in your equation \[\frac{ c^2b^2 }{ a^2 }=1 \] I would replace the top

phi
 one year ago
Best ResponseYou've already chosen the best response.1in other words c^2 b^2 is the same as a^2 (by pythagoras)

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1so what do we do now.....

phi
 one year ago
Best ResponseYou've already chosen the best response.1the idea is that c^2b^2 = a^2 so replace c^2b^2 with a^2 in your equation \[ \frac{ c^2b^2 }{ a^2 }=1 \]

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ a^2 }{ a^2 }=1\]

phi
 one year ago
Best ResponseYou've already chosen the best response.1and something divided by itself is 1 i.e. a^2 divided by itself is 1 you get 1=1 and you are done. You showed both sides are equal

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1ty @phi & @ganeshie8
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