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Sin2x=2sinxcosx

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Sin2x=2sinxcosx

    • Posted by Abhijeet Raj 6 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Gaurav Seth 6 years, 10 months ago

    We know, 
    one important identity , 
    sin( A + B) =sinA.cosB + cosA. sinB 

    let A = x 
    B = x 

    then, 
    sin( x + x ) = sinx.cosx + cosx .sinx 
    sin2x = 2sinx.cosx 


    verify :- 
    Let x = 30° 

    LHS = sin60° = √3/2 

    RHS = 2sin30°.cos30° = 2× 1/2 × √3/2 =√3/2 

    LHS = RHS 

    this is true for all real value of x then ,
    sin2x = 2sinx.cosx is also an identity.

    2Thank You

    Ram Kushwah 6 years, 10 months ago

    We know

    sin(x+y)=sinxcosy+cosxsiny

    if x=y then

    sin(x+x)=sinxcosx+cosxsinx

    sin2x=2sinxcosx

    0Thank You

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