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 2 years ago
How do I solve this using trig identities: tan(pi/4 + x) +tan(pi/4  x) =2sec2x
 2 years ago
How do I solve this using trig identities: tan(pi/4 + x) +tan(pi/4  x) =2sec2x

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sabika13
 2 years ago
Best ResponseYou've already chosen the best response.0i tried left side: 1+tanx+1tanx =2 :S

nubeer
 2 years ago
Best ResponseYou've already chosen the best response.0have you studied double angle identities?

sabika13
 2 years ago
Best ResponseYou've already chosen the best response.0well i have the formulas for it

nubeer
 2 years ago
Best ResponseYou've already chosen the best response.0ok good tell me formula for tan(a+b) and tan (ab) remember a and b are angles.

sabika13
 2 years ago
Best ResponseYou've already chosen the best response.0tan(a+/b)=(tana+/tanb)/(1+/tanatanb)

nubeer
 2 years ago
Best ResponseYou've already chosen the best response.0good.. now try to use this formula in your question.. it would be some thing like this for tan(pi/4 +x) = [tan(pi/4) +tanx]/(1tan(pi/4)tanx)

sabika13
 2 years ago
Best ResponseYou've already chosen the best response.0and then do i conjugate?

nubeer
 2 years ago
Best ResponseYou've already chosen the best response.0yes.. basically tan(pi/4) = 1 so just start solving as pi/4 will be eliminated.. the rest would be LCM and simple algebra.

nubeer
 2 years ago
Best ResponseYou've already chosen the best response.0i think it should work.. as where 2 angles are involved we use double angle identities to make stuff easy for us.. so this should work out.

sabika13
 2 years ago
Best ResponseYou've already chosen the best response.0actually it was 1+tan^2x/1+tanx

nubeer
 2 years ago
Best ResponseYou've already chosen the best response.0seriously.. hmm i will solve it and will see.. i have to go right now but will be back in a while just post the working u did.. if i can do i will post back..

nubeer
 2 years ago
Best ResponseYou've already chosen the best response.0hmm i dont think so you did right.. as far as i know there should be 1tan^2x in the denominator.

sabika13
 2 years ago
Best ResponseYou've already chosen the best response.0i got (1+tanx)(1tanx)in deno

nubeer
 2 years ago
Best ResponseYou've already chosen the best response.0yes.. multiplying it would give (1tan^2x)

sabika13
 2 years ago
Best ResponseYou've already chosen the best response.0okaylet me show what i did: tanpi/4 + tanx)^2/(1tanpi/4tanx)(1+tanpi/4tanx) + tanpi/4tanx/1+tanpi/4+tanx

sabika13
 2 years ago
Best ResponseYou've already chosen the best response.0(tanpi/4+tanx)^2 + (tanpi/4tanx) / (1tanpi/4tanx)(1+tanpi/4tanx)

sabika13
 2 years ago
Best ResponseYou've already chosen the best response.02+tan^2xtanx / 1tan^2x

nubeer
 2 years ago
Best ResponseYou've already chosen the best response.0yes i am.. just solving for you..

nubeer
 2 years ago
Best ResponseYou've already chosen the best response.0ok well fault i found in your answer is in frist step. tanpi/4 + tanx)^2 how you got the square here?

sabika13
 2 years ago
Best ResponseYou've already chosen the best response.0i multiplied (tan pi/4 +tanx) to both top and bottom

sabika13
 2 years ago
Best ResponseYou've already chosen the best response.0it will become a common deno

nubeer
 2 years ago
Best ResponseYou've already chosen the best response.0ok i got easy way.. try wolfram.. http://www.wolframalpha.com/input/?i=tan%28pi%2F4+%2B+x%29+%2Btan%28pi%2F4++x%29+%3D2sec%282x%29&dataset=&equal=Submit

nubeer
 2 years ago
Best ResponseYou've already chosen the best response.0tell me if this helps you.
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