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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
In a △ABC,∠C=60∘\triangle A B C, \angle C=60^{\circ}, then 1a+c+1b+c\frac{1}{a+c}+\frac{1}{b+c} is equal to
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Correct option: C
3a+b+c\frac{3}{a+b+c}
Option C (3a+b+c\frac{3}{a+b+c}) is correct. By using the cosine rule with ∠C=60∘\angle C = 60^{\circ} and manipulating the resulting equation, the given expression can be simplified to 3a+b+c\frac{3}{a+b+c}.

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