Find the limit, t tends to 0, Lim T / what is 1-cost equal to?

Find the limit, t tends to 0, Lim T / what is 1-cost equal to?

LIM (t → 0) t / √ (1-cost) = LIM (t → 0) 1 / {[1 / 2] × (1-cost) ^ (- 1 / 2) × Sint} = LIM (t → 0) [2 (1-cost) ^ 1 / 2] / Sint = LIM (t → 0) ^ (- 1 / 2)] / cost = LIM (t → 0) 1 / [cost (1-cost) ^ (1 / 2)]. When t → 0, 1-cost → 0, so the limit does not exist