Question

Evaluate the expression Arcsec(sqrt 2). Do not use your calculator to answer this question. Do not express answer in decimals.

Answer 1

arcsec(sqrt2)=x
sec(x) = sqrt(2)
1/cos(x) = sqrt(2)
1/sqrt(2) = cos(x)
using the special triangle with side lengths 1,1 and sqrt(2), and angles of pi/4, we can see that x= pi/4.
therefore arcsec(sqrt(2)) = pi/4.

Answer 2

thanks