Question

2 cos5x sin2x = ___
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Answer 1

Answer:

Answer is 1

Step-by-step explanation:

1

Answer 2

Answer:

Sin7x - Sin3x

Step-by-step explanation:

we know that,

SinA - SinB = 2Cos(A+B)/2.Sin(A-B)/2

Now,

SinA - SinB = 2Cos5x.Sin2x

2Cos(A+B)/2.Sin(A-B)/2 = 2Cos5x.Sin2x

then,

(A+B)/2 = 5x, A+B = 10x

(A-B)/2 = 2x, A-B = 4x

On solving both the equations,

A=7x and B=3x

So,

2Cos5x.Sin2x = SinA - SinB

= Sin7x - Sin3x