Express the product \sin6x\times\sin4x as a sum or difference.

e1s2kat26

e1s2kat26

Answered question

2021-08-11

Express the product sin6x×sin4x as a sum or difference.

Answer & Explanation

SchepperJ

SchepperJ

Skilled2021-08-12Added 96 answers

Given:
To express the product sin6x×sin4x as sum or express it as difference.
Concept:
The study of side lengths and angles of triangle is studied by a relation called trigonometry.
The equation given is related to the expression below,
sin(6x)×sin(4x)=12(2×sin(6x)×sin(4))
To obtain the relation derivate the right hand side by sin and cos rule,
=12(cos(6x+4x)cos(6x4x))
The values of cos are sum and differenced to obtain the relation below,
=12(cos(10x)cos(2x))
Thus the product equation is expressed as sum or difference as below,
sin(6x)×sin(4x)=12(cos(10x)cos(2x))
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-10Added 2605 answers

Answer is given below (on video)

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