Question

Which of the following expressions does sin(x + y) - sin(x - y) simplify to?
O2(sin x)(sin y)
O2(sin x)(cos y)
O2(cos x)(cos y)
O 2(cos x) (sin y)

Answer 1

The answer choice which sin(x + y) - sin(x - y) simplifies to is; 2(cos x)(sin y).

Which of the following expressions does sin(x + y) - sin(x - y) simplify to?

It follows from the task content that the expression given in the task content can be simplified by trigonometric identities as follows;

sin(x + y) - sin(x - y) = sinxcosy + cosxsiny - (sinxcosy -cosxsiny)

= 2cosxsiny.

Read more on trigonometric identities;

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