Determining the trigonometrical ratio of particular angle – Part

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\[\color {purple} {Example\ 1:}\ \color {red} {Show\ that}\ tan (765^0)\ =\ 1\ \hspace{15cm}\]

\[\color {blue}{Solution:}\ \hspace{20cm}\]

\[tan(765^0)\ =\ tan(360^0\ +\ 405^0)\ \hspace{18cm}\]

\[=\ tan(360^0\ +\ 45^0)\ \hspace{18cm}\]

\[=\ tan(45^0)\ \hspace{18cm}\]

\[=\ 1\ \hspace{18cm}\]

\[\boxed{Hence,\ tan (765^0)\ =\ 1}\]

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Determining the trigonometrical ratio of particular angle – Part – 1