Question icon
Grade Upto college levelTrigonometry

in a ΔABC, if cos A/a=cos B/b=cos C/c and the side a=2, then area of the Δ is....?

Profile image of nishant kumar agarwal
16 Years agoGrade Upto college level
Answers icon

1 Answer

Profile image of Badiuddin askIITians.ismu Expert
16 Years ago

Dear nishant

cos A/a=cos B/b=cos C/c  =m

cosA =am  ,cosB =bm  =cosC=c m

 

we know that

 sinA/a =sinB/b =sinC/c  =n

so SinA =an  , sinB =bn  ,sinC = cn

 

devide   tanA =tanB =tanC =n/m

  so A=B =C

triangle is equileteral

area =√3 /4 *22

         =√3 unit

Please feel free to post as many doubts on our discussion forum as you can.
If you find any question Difficult to understand - post it here and we will get you
the answer and detailed  solution very  quickly.

 We are all IITians and here to help you in your IIT JEE preparation.

All the best.
 
Regards,
Askiitians Experts
Badiuddin