Find the values of : sec (-855°) - Vidyadip

Question

Find the values of : sec (-855°)

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Answer

\begin{aligned}
& \sec \left(-855^{\circ}\right)=\sec \left(855^{\circ}\right) \\
& =\sec \left(720^{\circ}+135^{\circ}\right) \\
& =\sec \left(2 \times 360^{\circ}+135^{\circ}\right)=\sec 135^{\circ} \\
& =\sec \left(90^{\circ}+45^{\circ}\right) \\
& =-\operatorname{cosec} 45^{\circ} \\
& =-\sqrt{2} \\
\end{aligned}

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