Question

sin2A =??????????????​

Answer 1

Answer:

sin 2A = 2sinAcosA

this is your answer ✔️✔️

Answer 2

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• Write the formula for $\sin2 \alpha$

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• $\sin2 \alpha = 2 \sin \alpha \cos\alpha$

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$\sin(2 \alpha )$

$= \sin( \alpha + \alpha )$

Now, we know that

$\sin( \alpha + \beta ) = \sin \alpha \cos \beta + \cos \alpha \sin\beta$

So,

$\sin( \alpha + \alpha )$

$= \sin \alpha \cos \alpha + \cos \alpha \sin \alpha$

$=2 \sin \alpha \cos \alpha$

Therefore,

• $\sin2 \alpha = 2 \sin \alpha \cos \alpha$