Equation sin x + cos t + x + cos t - x = 2 has real solution, then sin t can be

Step-by-step solution

Given, sin x + cos t + x + cos t - x = 2 ⇒ sin x + 2 cos t · cos x = 2 For real solution 1 + 4 cos 2 t ≥ 2 ⇒ cos 2 t ≥ 3 4 ⇒ - 1 2 ≤ sin t ≤ 1 2 Hence, option (a) is correct.