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TS EAMCET · Maths · Determinants

A and C lie in 0,π2 and B lies in 0,2π. If tanA+3cosB+6sinC=1; 3tanA+cosB+4sinC=4; 5tanA+3cosB-8sinC=-2, then B-2 A-C=

  1. A π6
  2. B π3
  3. C π4
  4. D π2
Verified Solution

Answer & Solution

Correct Answer

(B) π3

Step-by-step Solution

Detailed explanation

Given tanA+3cosB+6sinC=1; 3tanA+cosB+4sinC=4 and 5tanA+3cosB-8sinC=-2. Let tanA=x, cosB=y & sinC=z, then the given equations become x+3y+6z=1   ...i 3x+y+4z=4   ...ii and 5x+3y-8z=-2   ...iii Let…