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dimulka [17.4K]
3 years ago
11

Verify the identity: sin 4x = 2 sin 2x cos 2x

Mathematics
2 answers:
777dan777 [17]3 years ago
6 0
Sin 2x = 2 sin x cos x

that is one of the double angle formulas


4x = sin 2(2x)

then it immediately follows that

sin 2(2x) = 2 sin 2x cos 2x
valkas [14]3 years ago
3 0
Verify the identity: sin 4x = 2 sin 2x cos 2x<span>
We use a trigonometric identity as follows:

</span>sin(a+b)=sin(a)cos(b)+cos(a)(sin(b<span>)
</span>
We s<span>tart with

sin(4x)=sin(2x+2x)
</span><span>sin(2x+2x)=sin(2x)×cos(2x)+cos(2x)×sin(2x)

</span>Then, it will simplify to

<span><span>2sin(2x)cos(2x)

Hope this answers the question.</span></span>
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Read 2 more answers
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