Write the set of values of a for which the equation √3 sin x – cos x = a has no solution.
cos30°sin x – sin30°cos x =a
sin (x-30)=a
As the range of sin function is from [-1,1]
So the value of a can be R-[-1,1]
i.e. a ∈ (-∞, -2) ∪ (2, ∞)
1
Write the set of values of a for which the equation √3 sin x – cos x = a has no solution.
cos30°sin x – sin30°cos x =a
sin (x-30)=a
As the range of sin function is from [-1,1]
So the value of a can be R-[-1,1]
i.e. a ∈ (-∞, -2) ∪ (2, ∞)