IF (A+B+C)=2S THAN SIN(S-A)+SIN(S-B)+SIN(S-C)-SINS WILL BE EQUAL TO
POOJA , 8 Years ago
Grade 12th pass
Trigonometry> IF (A+B+C)=2S THAN SIN(S-A)+SIN(S-B)+SIN(...
2 AnswersVikas TU
Last Activity: 8 Years ago
( SIN(S-A)+SIN(S-B)) + (SIN(S-C)-SINS)
Now use sinc + sind and sinc – sind formulaes here simply,
=> 2cos(C-2S)/2sin(C/2)+2sin(C/2)cos(B-A)/2
=> 2sinC/2[cos(A+B)/2 +cos(B-A)/2] {cos-thetha = costhetha}
=> 2sinC/2 .[2cos(B/2)cos(A/2)]
=> 4cos(A/2)cos(B/2)sin(C/2)
Hence this would be the final soln.
Piyush Ranjan Singh
Last Activity: 5 Years ago
Sin(S-A)+Sin(S-B)+Sin(S-C)-SinS
Now use sinc + sind and sinc – sin d formulaes here and then simplify.
2Sin(2s-(A+B))/2 × Cos-(A-B)/2 + 2Cos(2s-c)/2 × Sin-c/2
=> 2Sinc/2 [cos(A-B)/2 - cos(A+B)/2]
=> 2Sinc/2 [-2sin2a/4 × Sin-2b/4]
=> 4Sin a/2 Sin b/2 Sin c/2.
given--> A+B+C =2S
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