Cosecant of Right Angle

From ProofWiki
Jump to navigation Jump to search

Theorem

$\csc 90^\circ = \csc \dfrac \pi 2 = 1$

where $\csc$ denotes cosecant.


Proof

\(\displaystyle \csc 90^\circ\) \(=\) \(\displaystyle \frac 1 {\sin 90^\circ}\) Cosecant is Reciprocal of Sine
\(\displaystyle \) \(=\) \(\displaystyle \frac 1 1\) Sine of 90 Degrees
\(\displaystyle \) \(=\) \(\displaystyle 1\)

$\blacksquare$


Also see


Sources