Friday, November 23, 2018

trigonometry - If 0ltxltfracpi2, is cos(x)lefracsin(x)xlefrac1cos(x)?

How can I find the following product using elementary trigonometry?




Suppose 0<x<π2
is an angle measured in radians. Use the trigonometric circle and
show that cos(x)sin(x)x1cos(x).





I have been trying to solve this question. I can't figure out whether or not the solution requires a trigonometric circle or if it can be done using another method.

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