If α∈ (π 4, π 2), then the following inequality holds () A. sinα>cosα>tanαB. sinα>tanα>cosαC. tanα>sinα>cosαD. cosα>tanα>sinα

If α∈ (π 4, π 2), then the following inequality holds () A. sinα>cosα>tanαB. sinα>tanα>cosαC. tanα>sinα>cosαD. cosα>tanα>sinα

∵ α ∈ (π 4, π 2), ∵ Tan α > 1, 1 > sin α > cos α > 0, so the answer is: C