The equation y=sinxsin(x+2)-sin^(2)(x+1)...

The equation `y=sinxsin(x+2)-sin^(2)(x+1)` represents a straight line lying in

A

second and third quadrants only

B

first, third and fourth quadrants

C

first, second and fourth quadrants

D

third and fourth quadrants only

Verified by Experts

The correct Answer is:

D

Let `y=(1)/(2)(2sinx. Sin(x+2))-sin^(2)(x+1)=(cos(2))/(2)-(cos(2x+2))/(2)-(1-cos(2x+2))/(2)-((1-cos(2x+2))/(2))=-(1)/(2)[1-cos2]`
`y=-sin^(2)1`

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