Friday, 4 November 2016

trigonometry - How does the unit circle work for trigonometric ratios of non-acute angles?

How does the unit circle work for trigonometric ratios of obtuse angles? I know that the x coordinate is cos(θ) and the y coordinate is sin(θ). But I understand these in context of only acute angles? I don't understand why the unit circle definition works for other than acute angles? Somebody please provide me some good intuition.

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...