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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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In Δ  ABC,a2(cos⁡2B−cos⁡2C)+b2(cos⁡2C−cos⁡2A)+c2(cos⁡2A−cos⁡2B)\Delta \;ABC,{a^2}\left( {{{\cos }^2}B - {{\cos }^2}C} \right) + {b^2}\left( {{{\cos }^2}C - {{\cos }^2}A} \right) + {c^2}\left( {{{\cos }^2}A - {{\cos }^2}B} \right) is equal to
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Correct option: A
0
Option A (0) is correct because by using the sine rule and trigonometric identities, the expression simplifies to zero.

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