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Manipal MET2021MathematicsTrigonometric Ratios & Identities

If A, B, C are the angles of a triangle, then B+ C- A+1 is equal to

Options

  1. A4 A 2 B 2 C 2
  2. B-4 A 2 B 2 C 2
  3. C4 A 2 B 2 C 2
  4. D4 A 2 B 2 C 2

Correct answer

A. 4 A 2 B 2 C 2

Step-by-step solution

Now, B+ C+(1- A) aligned & =2 ( B+C 2 ) ( B-C 2 )+2 ^2 A 2 & =2 ( 2 - A 2 ) ( B-C 2 )+2 ^2 A 2 & =2 A 2 [ ( B-C 2 )+ A 2 ] & =2 A 2 [ ( B-C 2 )+ ( B+C 2 ) ] & =2 A 2 2 B 2 C 2 & =4 A 2 B 2 C 2 aligned

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