Which of the following are true statements? Select all that apply.

Since cosecant is the reciprocal of sine, a sine maximum of 1 gives a cosecant value of 1, which is a local minimum of the cosecant graph. A sine minimum of −1 gives a cosecant value of −1, which is a local maximum of the cosecant graph. Therefore, the true statements are that cosecant has a local minimum at a sine maximum and a local maximum at a sine minimum.

AI-written and checked against the verified answer.