JEE Main 20246 Apr, Evening shiftMathematicsMediumProperties of Triangle19× since 2002In a triangle ABC,BC=7,AC=8,AB=α∈N\mathrm{ABC}, \mathrm{BC}=7, \mathrm{AC}=8, \mathrm{AB}=\alpha \in \mathrm{N}ABC,BC=7,AC=8,AB=α∈N and cosA=23\cos \mathrm{A}=\frac{2}{3}cosA=32. If 49cos(3C)+42=mn49 \cos (3 \mathrm{C})+42=\frac{\mathrm{m}}{\mathrm{n}}49cos(3C)+42=nm, where gcd(m,n)=1\operatorname{gcd}(m, n)=1gcd(m,n)=1, then m+nm+nm+n is equal to _________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
