Home
Class 11
MATHS
If sin(B +C-A)= cos(C+A-B) =tan (A+B-C)=...

If `sin(B +C-A)= cos(C+A-B) =tan (A+B-C)=1`, find A, B, C which are positive acute angles.

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

If cos A=5/13 and sin B= 4/5 , find sin (A + B), where A, B, (A + B) are positive acute angles.

If sin A = cos B, both A and B are acute angles, find A + B.

In Delta ABC if tan((B+C-A)/4)tan((C+A-B)/4)tan((A+B-C)/4)=1 then find the value of cos A+ cos B+cos C

If cos (A + B) sin (C- D) = cos (A- B) sin (C+D) , show that : tan A tan B tanC + tanD=0 .

If in a Delta ABC, sin ^(3) A + sin ^(3) B+ sin ^(3) C =3 sin A .Sin B. sin C, then find the valueof determinant |{:(a,b,c),(b,c,a),(c,a,b):}|.

The angle of triangle A, B, C are in AP and C=3A . Find angle B

If A + B + C =180^@ , prove that : sin (B + 2C) + sin (C + 2A) + sin (A + 2B) = 4 sin frac (B-C)(2) sin frac (C-A)(2) sin frac (A-B)(2) .

If A + B + C =180^@ , prove that : sin (B+C-A) + sin(C+ A-B)+ sin(A +B-C)=4sin A sinB sinC .

Let a,b, c are the sides opposite to angles A, B , C respectively in a Delta ABC tan""(A-B)/(2)=(a-b)/(a+b)cot ""C/2 and (a)/(sin A)=(b)/(sin B) =(c)/(sin C), If a=6,b=3 and cos (A-B) =4/5 Area of the trianlge is equal to

If A, B, C are angles of triangle ABC and a, b, c are lengths of the sides opposite to A, B, C respectively, then show that : a (sin B - sin C)+ b (sin C- sin A)+c (sin A -sin B)= 0 .