NDA2022MathematicsTrigonometric Ratios & IdentitiesActual
In a triangle A B C , A- B- C=0 What is angle B equal to?
Options
- A6
- B4
- C3
- D2
Correct answer
D. 2
Step-by-step solution
In ABC A+B+C= A= B+ C=2 B+C 2 B-C 2 aligned A=2 ( 2 - A 2 ) ( B-C 2 ) & & [ B+C= -A] aligned aligned & 2 A 2 A 2 =2 A 2 ( B-C 2 ) & A 2 = ( B-C 2 ) aligned aligned & A 2 = B-C 2 ~A = B - C & A + C = B - B = B & B= 2 aligned