If values of any trigonometric-functions repeat after an fixed interval , then how are the values used ? Explain through this example: No links .

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$$\begin{gathered} \mathrm{It} \mathrm{means} \mathrm{that} \\ \mathrm{T}\left(360°+\mathrm{\theta }\right)=\mathrm{T}\left(2\times 360°+\mathrm{\theta }\right)=\mathrm{T}\left(3\times 360°+\mathrm{\theta }\right)=\mathrm{T}\left(4\times 360°+\mathrm{\theta }\right).....=\mathrm{T}\left(\mathrm{\theta }\right) \\ \mathrm{In} \mathrm{general} \\ \mathrm{T}\left(\mathrm{n}\times 360°+\mathrm{\theta }\right)=\mathrm{T}\left(\mathrm{\theta }\right) \mathrm{where} \mathrm{n} \mathrm{is} \mathrm{any} \mathrm{integer} \\ \mathrm{where} \mathrm{T} \mathrm{represents} \mathrm{trigonometric} \mathrm{rations} \mathrm{sine},\cos ,\tan ,\cot ,\sec ,\mathrm{cosec}. \\ \mathrm{e}.\mathrm{g}. \\ \sin \left(750°\right)=\sin \left(2\times 360°+30°\right)=\sin 30°=\frac{1}{2} \\ \mathrm{Similarly} \\ \mathrm{cosec}\left(-1410°\right)=\mathrm{cosec}\left(-1440°+30°\right) \\ =\mathrm{cosec}\left(-4\times 360°+30°\right) \\ =\mathrm{cosec}\left(30°\right)=2 \end{gathered}$$

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