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AP EAMCET2003MathematicsTrigonometric Equations

If A+B+C=270^ , then 2 A+ 2 B+ 2 C is equal to :

Options

  1. A4 A B C
  2. B4 A B C
  3. C1-4 A B C
  4. D1-4 A B C

Correct answer

C. 1-4 A B C

Step-by-step solution

2 A+ 2 B+ 2 C=2 (A+B) (A-B)+1-2 ^2 C=2 ( 3 2 -C ) (A-B)+1-2 ^2 C [ A+B+C=270^ B+C= 3 2 -C =1-2 C[ (A-B)+ C]=1-2 C[ (A-B)- (A+B)]=1-4 A B C

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