Sin2x=2sinxcosx
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Posted by Abhijeet Raj 5 years, 2 months ago
- 2 answers
Ram Kushwah 5 years, 2 months ago
We know
sin(x+y)=sinxcosy+cosxsiny
if x=y then
sin(x+x)=sinxcosx+cosxsinx
sin2x=2sinxcosx
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Gaurav Seth 5 years, 2 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