How do you find the exact value of sec^-1(sqrt2)?

2 Answers
Sep 1, 2016

45degrees or pi/4

Explanation:

Draw a. Right angled isosceles triangle . The ratio of the sides 1:1:sqrt2
Sec is hypotenuse over adjacent

Sep 1, 2016

sec^-1 sqrt2=pi/4.

Explanation:

The Defn. of sec^-1 is :

sec^-1 x=theta , |x|.=1 iff sec theta=x, theta in [0,pi]-{pi/2}.

Knowing that, sec (pi/4)= sqrt2, pi/4 in [0,2pi]-{pi/2}, sec^-1 sqrt2=pi/4.