How to solve for the sin 11pi/2 without using a calculator?

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Josh Withee · Answer 1 · 2017-08-23T12:12:18+0000

You have to do some trigonometric transformations :
sin ( 11π/2 ) = sin ( 8π/2 + 3π/2 ) = sin ( 4π + 3π / 2 ) = sin ( 3π / 2 ) =
= sin 270° = -1