Trigonometric EquationMedium
Question
In triangle ABC, 2ac sin 
(A - B + C) =
(A - B + C) =Options
A.a2 + b2 - c2
B.c2 - a2 - b2
C.b2 - a2 - c2
D.c2 - a2 - b2
Solution
We know that, A + B + C = 180o
⇒ A + C - B = 180 - 2B
Now, 2ac sin
= 2ac sin(90o - B)
= 2ac cos B =
= a2 + c2 - b2
⇒ A + C - B = 180 - 2B
Now, 2ac sin
= 2ac sin(90o - B)= 2ac cos B =
= a2 + c2 - b2Create a free account to view solution
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