sign up I login
 advanced
refer a friend - earn nickels!!

Ask & Discuss Questions with Community & Experts

Moderation Team
 90 chars left    advanced
Ask iit jee aieee pet cbse icse state board experts Expert Question: inverse circuar function
Forum Index -> Trignometry like the article? email it to a friend.  
Author Message
sucess_seeker (5)

Cool goIITian

Olaaa!! Perrrfect answer. 1  [1 rates]

sucess_seeker's Avatar

total posts: 90    
offline Offline
Prove that
 
2tan-1[tan(45-a)tan/2] = cos-1[sin2a+cos/1+sin2acos]

sikha
Success is how high you bounce when you hit bottom.
    
Asmita (475)

Blazing goIITian

Olaaa!! Perrrfect answer. 73  bad job dude!! I dont approve of this answer! 1  [130 rates]

Asmita's Avatar

total posts: 302    
offline Offline
Let tan-1[tan(45-a)tan/2] =
& cos-1[sin2a+cos/1+sin2acos]=
To prove:
2tan-1[tan(45-a)tan/2] = cos-1[sin2a+cos/1+sin2acos]
i.e. 2 =
i.e.tan 2 =tan
tan = (1-tan a)tan/(1+tan a)2
        =(cos a-sin a)sin/(cos  a+sin a)2cos
By using formula
LHS=sincos 2a/(sin 2a +cos )
formula used
sin2 x+cos2 x=1
2sinxcosx=sin2x
cos2x-sin2x=cos2x
RHS=tan
        =[(1/cos2 )-1]
        =sincos 2a/(sin 2a +cos ) [by using the trigonometric formulas & simplifying.]
now LHS =RHS
Hence proved.
If u face any difficulty while simplifying the terms let me know.
 this reply: 5 points  (with Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
You have to be logged on to rate
  
edison (4934)

Forum Expert Blazing goIITian

Olaaa!! Perrrfect answer. 868  [1165 rates]

edison's Avatar

total posts: 2485    
offline Offline
Well done Asmita.

The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp.
 this reply: 0 points  (with Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
 
Forum Index -> Trignometry
Go to:   

Top Offers for goIITians
Correspondence Courses
Brilliant Tutorials
Narayana Institute
Aakash Institute
Classroom/Crash Courses
Narayana - Kota , Delhi , Others
Brilliant Tutorials - Class , Crash
Aakash Institute - Medical , Engg
Online Test Series
Brilliant Tutorials
Narayana Institute
Aakash Institute
Mahesh Tutorials
AMITY      Sri Chaitanya