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If sin(A+B)=cos(A-B) then which of the following is true1.sin2A=12.tanA=13.cos2A=14.1&2Co

If sin(A+B)=cos(A-B) then which of the following is true1.sin2A=12.tanA=13.cos2A=14.1&2Co

Grade:12th pass

1 Answers

Arun
25757 Points
5 years ago
Dear Raju
 
sinA cosB + cosA sinB = cosA cosB + sinA sinB
sinA (cosB - sinB ) = cosA ( cosB - sinB)
Hence
SinA = cosA
Hence tan A = 1
A = 45°
Hence sin 2A = 1
 
Hence option 4 is correct because 
sin 2A = 1 
&
tan A = 1
 
 
Regards
Arun (askIITians forum expert)

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