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