Skip to main content
Back to Trigonometry
JEE Main 2019
Trigonometry
Trigonometric Ratio and Identites
Easy

Question

The equation y = sinx sin (x + 2) – sin 2 (x + 1) represents a straight line lying in :

Options

Solution

y = sinx.sin(x+2) - sin 2 (x+1) 12{2sin(x+2)sinx2sin2(x+1)} \Rightarrow {1 \over 2}\left\{ {2\sin \left( {x + 2} \right)\sin x - 2{{\sin }^2}(x + 1)} \right\} 12{cos2cos(2x+2)+cos(2x+2)1}=sin21<0 \Rightarrow {1 \over 2}\left\{ {\cos 2 - \cos (2x + 2) + cos(2x + 2) - 1} \right\} = - {\sin ^2}1 < 0 Hence the line passes through III and IV quadrant

Practice More Trigonometry Questions

View All Questions