Question

Simplify sec(arcsec 1/2). A. undefined B. -1/2 C. 1/2 D. 2

Answer 1

$\bf \textit{what is the sine of }90^o?\qquad 1\textit{ then what is the }sin^{-1}(1)?\quad 90^o \\\\\\ \textit{now then, what is }sin(~~sin^{-1}(1)~~)?\textit{ is just }1\\\\ -------------------------------$

$\bf likewise\qquad \begin{cases} cos(~~cos^{-1}(whatever)~~)\implies whatever\\ sin(~~sin^{-1}(whatever)~~)\implies whatever\\ tan(~~tan^{-1}(whatever)~~)\implies whatever\\ cot(~~cot^{-1}(whatever)~~)\implies whatever\\ sec(~~sec^{-1}(whatever)~~)\implies whatever\\ csc(~~csc^{-1}(whatever)~~)\implies whatever \end{cases}$

so, surely you know what that is then.

Answer 2

C.1/2 is answer number