Suggestion

How many values of \(x\) satisfy the equation \[2 \cos^2x + 5\sin x = 4\] in the range \(0 \leq x < 2 \pi\)?

  1. \(2\),

  2. \(4\),

  3. \(6\),

  4. \(8\).

Can we rewrite the equation in terms of \(\sin x\) only or \(\cos x\) only?