Trigonometrical Ratios

Subject: Optional Maths

Overview

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Things to remember
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(sinθ)2 + (cosθ)2 = 1sec2θ = 1+tan2θcosec2θ - cot2θ = 1
sin2θ = 1-cos2θsec2θ - tan2θ =1cosec2θ = 1 + cot2θ
, sinθ= \(\sqrt{1-cos^{2}}{θ}\)tan2θ= sec2θ - 1cot2θ = cosec2θ - 1
cosθ = \(\sqrt{1-sin^{2}}{θ}\)_x000D_

secθ = \(\sqrt{1+tan^{2}}{θ}\)

_x000D_
cotθ =\(\sqrt{cosec^{2} θ-1}\)
sec2θ - tan2θ =1tanθ = \(\sqrt{sec^{2} θ-1}\)cosecθ = \(\sqrt{1+cot^{2}}{θ}\)

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