Question

2sinA and sin2A difference

Answer 1

you can undersatand by a simple example like

if A=30 then sin2A=sin(2x30)=sin 60=√3/2

whereas 2sinA=2sin30=2x(1/2)=1

therefore sin 2A=sin(2 times angle A) and 2sinA= 2 times sin of A



Shrey Tanwar answered this

sin 2A = 2sinAcosA

whereas 2sinA = sinA+ sinA = 2* sinA



Priyanka Kedia answered this



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Answer 2

2sinA means that 2 times the value of sin A.

However, it's totally different from sin 2A.
Sin 2A Means that the value of x is doubled that is sin of two times x.

Lemme give you an example,

Let's take x = 45°

So, 2 sin 45 = 2*1/√2 = √2
And,
sin 2A = sin 90° = 1.

So you can clearly see that 2 sin A is not equal to sin 2A.

And just as an additional fact,

sin 2A = 2 sin A cos A