Question

True or False:
sinxcosy = 1/2 (sin(x+y) + cos(x-y))

Answer 1

false

Explanation:

A

P

E

X

Answer 2

False

Explanation:

We simplify the right hand side of the expression to check if its equal to the left hand side of the expression or not.

`(1)/(2)(\sin(x+y)+\cos(x-y))`

Use the formulas:

sin (x+ y) = sinxcosy +cosxsiny

cos (x-y)= cosxcosy +sinxsiny

Thus, the expression will become

`(1)/(2)(sinxcosy+cosxsiny+cosxcosy+sinxsiny)`

We cannot simplify this expression further.

We can see that the expression is not equal to the left hand side of the expression.

Hence, the statement is False.