Question Video: Applying the Squeeze Theorem Mathematics

Consider the following arc of a unit circle, where ray 𝑂𝑃 is inclined at 𝜃 radians. 1) What, in terms of 𝜃, are the coordinates of 𝑃? 2) Write the following inequalities in terms of sin 𝜃, 𝜃, and cos 𝜃: 𝑄𝑅< length of the arc from 𝑇 to 𝑄 < 𝑇𝑃. 3) By dividing your inequalities by sin 𝜃, using the squeeze theorem and the fact that lim_(𝜃 → 0) cos 𝜃 = 1, which of the following conclusions can you draw? [A] lim_(𝜃 → 0) 𝜃/sin 𝜃 = 0 [B] lim_(𝜃 → 0) 𝜃/sin 𝜃 does not exist [C] lim_(𝜃 → 0) 𝜃/sin 𝜃 = 1