Mark the correct alternative in each of the following-In any - ABC - - a 2sin B -sin C -A- a2-b2-c2- a 2C- b 2D- 0

The correct option is D 0 Let a^2 sinB=b^2 sin A, b^2 sin C=c^2 sin A a^2 sin C=c^2 sin A ∑ a^2 (sin B sin C ) =a^2 (sin B sin C )+b^2 (sin C sin A )+c^2 ...

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Byju's Answer

Standard XII

Mathematics

General Solution of Trigonometric Equation

Mark the corr...

Question

Mark the correct alternative in each of the following :

$I n a n y Δ A B C, \sum a^{2} (s i n B - s i n C) =$

$a^{2} + b^{2} + c^{2}$

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$a^{2}$

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$b^{2}$

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Solution

The correct option is D
0

$L e t a^{2} s i n B = b^{2} s i n A, b^{2} s i n C = c^{2} s i n A a^{2} s i n C = c^{2} s i n A \sum a^{2} (s i n B - s i n C) = a^{2} (s i n B - s i n C) + b^{2} (s i n C - s i n A) + c^{2} (s i n A - s i n B) = a^{2} s i n B - a^{2} s i n C + b^{2} s i n C - b^{2} s i n A + c^{2} s i n A - c^{2} s i n B = b^{2} s i n A - a^{2} s i n C + b^{2} s i n C - b^{2} s i n A + a^{2} s i n C - b^{2} s i n C = 0$

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