Simplify the following \(\frac{cosx-\sqrt {3}sinx}{2}\)
Answer & explanation
Correct answer: option 2
\(\frac{1}{2}\)cosx-\(\frac{\sqrt {3}}{2}\)sinx
= cos60° cosx - sin60° sinx [π = 180°, \(\frac{π}{3}\)=60°]
= cos(\(\frac{π}{3}+x\)) [cos(A + B)=cosA cosB - sinA sinB]