In a traingle ABC, 3 sinA+4 cosB=6 and 4 sinB+3cosA=1, then find angle C in degrees.
In a traingle ABC, 3 sinA+4 cosB=6 and 4 sinB+3cosA=1, then find angle C in degrees.
Shruti Bhattacharyya , 8 Years ago
Grade 10
Trigonometry> In a traingle ABC, 3 sinA+4 cosB=6 and 4 ...
1 Answers
Arun
C=30 DEGREE ONLY
WHY C CAN'T BE 150?
If C is 150 then A +B must be 30
So sinA is maximum when A takes value very close to 30 and cos B is maximum when B takes value very close to 0
In that case 3sinA + 4cosB can take maximum value 3(1/2)+4(1) =5.5 which is less than 6, it's given that 3sinA + 4 cosB=6 ..So c =150 not possible.
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