Find the value of the given expression.
sin 600°.cos 750° + sin 150°.cos 240°
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. -1.
sin 600°.cos 750° + sin 150°.cos 240°
⇒ sin (540° + 60°).cos(720° + 30°) + sin(180° - 30°).cos(180° + 60°)
⇒ -sin60°.cos30° - sin30°cos60°
⇒ -(sin60°.cos30° + cos60°.sin30°)
sin(A + B) = sinAcosB + cosAsinB
⇒ - sin(60° + 30°)
⇒ - sin90° = -1