Math, asked by khushichaudhary7070, 1 year ago

convert the following product into sum or differences 1)2sin3xcosx 2)2cos7xcos3x

Answers

Answered by manasa1010
5

Answer:

hey mate !!

there's your answer .

Hope you understood

Attachments:
Answered by ajajit9217
0

Answer:

1) 2 sin 3x cos x = sin 4x + sin 2x

2) 2 cos 7x cos 3x = cos 10x + cos 4x

Step-by-step explanation:

1. 2 sin 3x cos x

We know that 2 sin A cos B = sin (A + B) + sin (A - B)

Here, let us take 3x as A and x as B

=> 2 sin 3x cos x = sin (3x + x) + sin (3x - x)

                            = sin 4x + sin 2x

which is the required answer. i.e. in sum form

Therefore, 2 sin 3x cos x = sin 4x + sin 2x

2. 2 cos 7x cos 3x

We know that 2 cos A cos B = cos (A + B) + cos (A - B)

Here, let us take 7x as A and 3x as B

=> 2 cos 7x cos 3x = cos (7x + 3x) + cos (7x - 3x)

                               = cos 10x + cos 4x

which is the required answer. i.e. in sum form

Therefore, 2 cos 7x cos 3x = cos 10x + cos 4x

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