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

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

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

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

i tried left side: 1+tanx+1-tanx =2 :S
have you studied double angle identities?
well i have the formulas for it

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

ok good tell me formula for tan(a+b) and tan (a-b) remember a and b are angles.
tan(a+/-b)=(tana+/-tanb)/(1+/-tanatanb)
good.. 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]/(1-tan(pi/4)tanx)
and then do i conjugate?
yes.. basically tan(pi/4) = 1 so just start solving as pi/4 will be eliminated.. the rest would be LCM and simple algebra.
i 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.
i ended up with tanx
actually it was 1+tan^2x/1+tanx
seriously.. 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..
hmm i dont think so you did right.. as far as i know there should be 1-tan^2x in the denominator.
i got (1+tanx)(1-tanx)in deno
yes.. multiplying it would give (1-tan^2x)
okaylet me show what i did: tanpi/4 + tanx)^2/(1-tanpi/4tanx)(1+tanpi/4tanx) + tanpi/4-tanx/1+tanpi/4+tanx
right?
(tanpi/4+tanx)^2 + (tanpi/4-tanx) / (1-tanpi/4tanx)(1+tanpi/4tanx)
and then tanpi/4 =1
2+tan^2x-tanx / 1-tan^2x
ru there?
yes i am.. just solving for you..
ok well fault i found in your answer is in frist step. tanpi/4 + tanx)^2 how you got the square here?
i multiplied (tan pi/4 +tanx) to both top and bottom
it will become a common deno
ok 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
tell me if this helps you.

Not the answer you are looking for?

Search for more explanations.

Ask your own question