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anonymous
 5 years ago
find the exact value of tan22.5 using the half angle formula.
im at ((sqrt2)/(2))/((1+(sqrt2))/(2))
anonymous
 5 years ago
find the exact value of tan22.5 using the half angle formula. im at ((sqrt2)/(2))/((1+(sqrt2))/(2))

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0thats alot of (((())))) to keep track of :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0sqrt(2)/2  1+sqrt(2)/2 is what youve got so far?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0we can "cross out" the /2 parts since 1/2 over 1/2 = 1 sqrt(2)  1+sqrt(2)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0now to rationalize the bottom we need to divide by 1sqrt(2) over 1sqrt(2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the conjugate? right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0thats correct, the conjugate...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0thats correct, the conjugate...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry how do you know when you can multiply by that? is it because i have a + in between the two values on the bottom?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0that right, when we have the denominator stuck together by addintion/subtraction, we need to use the conjugate.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and id for example i had 1  sqrt(2) then i'd still use the opposite sign?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0there are 3 things that can happen here: we can multiply by the same value and get: (a+b)(a+b) = (a^2 +2ab +b^2) which doesnt help us out. (ab)(ab) = (a^2 2ab +b^2) which is a bother as well but, (a+b)(ab) = (a^2  b^2) which is what will do it for us, so the conjugate is the same first and last, but a change in sign.. make sense?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ahhh i remember now! foiling. sorry im a junior in college taking precal and it's been three years since i saw any algebra so im extremely rusty. it's starting to come back

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0it was 20 years before I tried college :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay so now i used the conjugate and got sqrt(2)2

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0thats your top part of the fraction i think sqrt(2) times 1sqrt(2) = sqrt(2)  2 the bottom becomes: 1+sqrt(2) times 1 sqrt(2) 1  2 = 1 together we get: sqrt(2)  2  1 so we have a negative in this thing that needs to be dealt with

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0pretty much its: (sqrt(2)2) = sqrt(2)+2 = 2sqrt(2) right?
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