The Supreme Court has rejected an appeal from Arizona death row inmate Daniel Wayne Cook, convicted of strangling two men in 1987.

The justices did not comment on their order Tuesday. Cook says his death sentence should be reversed because he has post-traumatic stress disorder and organic brain damage.

Separately, he is challenging the state's use of a sedative drug in executions. Arizona has acknowledged buying the sedative from a company in Great Britain because of a shortage of the drug in the United States. The state has refused to disclose the company manufacturing it.