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Grade Upto college levelTrigonometry

1)if the median of triangle ABC through A is perpendicular to AB, then value of tanA + 2 tanB is......?

2)In a triangle ABC, a=5,b=4 & cos(A-B)=31/32, then side c=.....?

3)if the bisector of angle A of ΔABC makes an angle Φ wid BC, then sinΦ is equal to....?

4)in a triangle ABC, (a+b+c)(b+c-a)=Λbc if......(condition)?

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

Profile image of Badiuddin askIITians.ismu Expert
16 Years ago

Dear nishat

 

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In Triangle ACD 

 use sine rule

a/2 sinB /sin(180-A-B)   = a/2 /sin(A-90)

sinB/sin(A+B)  = -1/cosA

 sinB cosA = -sin(A+B)

 sinBcosA  =-[sinAcosB + cosA sinB]

 tanA +2tanB =0

 

post seperate question in different post

     
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Badiuddin

Profile image of Aman
8 Years ago
I have difficulty to understand please detail solutions so that I understand how the sine rule will applicable 
 
 
 
 
Profile image of Kushagra Madhukar
6 Years ago
Dear student,
 
Please post the questions separately as many of them are lengthy and require attachment of diagram for them separately. Hence not all of them can be solved right here.
 
Thanks and regards,
Kushagra