How do you evaluate #3\sec (\frac{\pi }{4})-3\sec (0)#?

1 Answer
Dec 5, 2017

#3(sqrt2-1)#

Explanation:

#"using the "color(blue)"trigonometric identity"#

#•color(white)(x)secx=1/cosx#

#rArr3sec(pi/4)-3sec(0)#

#=3xx1/(cos(pi/4))-3xx1/(cos(0))#

#=3xx1/(1/sqrt2)-3xx1/1#

#=3sqrt2-3#

#=3(sqrt2-1)#