Secant of Angle plus Three Right Angles

From ProofWiki
Jump to navigation Jump to search

Theorem

$\map \sec {x + \dfrac {3 \pi} 2} = \csc x$


Proof

\(\ds \map \sec {x + \frac {3 \pi} 2}\) \(=\) \(\ds \frac 1 {\map \cos {x + \frac {3 \pi} 2} }\) Secant is Reciprocal of Cosine
\(\ds \) \(=\) \(\ds \frac 1 {\sin x}\) Cosine of Angle plus Three Right Angles
\(\ds \) \(=\) \(\ds \csc x\) Cosecant is Reciprocal of Sine

$\blacksquare$


Also see


Sources

Retrieved from "https://proofwiki.org/w/index.php?title=Secant_of_Angle_plus_Three_Right_Angles&oldid=443196"