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In a triangle abc, prove that aCosA bCosB cCosC = 2aSinBCosC?
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In a triangle abc, prove that aCosA bCosB cCosC = 2aSinBCosC?
aCosA+bCosB+cCosC = 2aSinBCosC
aCosA+bCosB+cCosC
=2R sinA cosA +2R SinB CosB + 2R Sin C CosC (From Sine rule)
=R(2 sinA cosA +2 SinB CosB + 2 Sin C CosC)
=R (Sin2A+Sin2B+Sin2C)
=R(2Sin (A+B)Cos(A-B)+2SinCCosC)
=R [ 2 SinC Cos(A-B) + 2SinC CosC]
=2RSinC[Cos(A-B)+CosC]
=2RSinC[Cos(A-B)-Cos(A+B)]
=2R SinC [ 2 SinA Sin B]
=(2R SinA) (2SinB SinC)
=a (2 SinB SinC)
=2a Sin B SinC
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In a triangle abc, prove that aCosA bCosB cCosC = 2aSinBCosC?
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In a triangle abc, prove that aCosA bCosB cCosC = 2aSinBCosC? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a triangle abc, prove that aCosA bCosB cCosC = 2aSinBCosC? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a triangle abc, prove that aCosA bCosB cCosC = 2aSinBCosC?.
In a triangle abc, prove that aCosA bCosB cCosC = 2aSinBCosC? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a triangle abc, prove that aCosA bCosB cCosC = 2aSinBCosC? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a triangle abc, prove that aCosA bCosB cCosC = 2aSinBCosC?.
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