Math, asked by yajmera8, 1 year ago

sin 2A = 2 sin A is true when A = ? with solution please​

Answers

Answered by DrMath
276

sin2A=2sinA

2sinA*cosA=2sinA

cosA=2sinA/2sinA

cosA=1

A=0

Attachments:
Answered by mysticd
189

 sin \:2A = 2 sin \:A ( Given )

 \implies sin\:2A - 2sin\:A = 0

 \implies 2sin\:A cos\:A - 2sin \:A = 0

 \boxed {\pink { sin \:2A = 2sinAcosA }}

 \implies 2sin A ( cosA - 1 ) = 0

 \implies 2sinA = 0 \:Or \: cosA - 1 = 0

 \implies sinA = 0 \:Or \: cosA = 1

 \implies sinA = sin \:0\degree \:Or \: cosA = cos\:0\degree

 \implies A = 0 \degree \:Or \: A = 0\degree

Therefore.,

 \red { Value \: of \: A } \green {= 0 \degree }

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