How do you use the fundamental identities to simplify #sec^2x(1-sin^2x)#?
1 Answer
Mar 15, 2017
Explanation:
Using the
#color(blue)"trigonometric identities"#
#color(red)(bar(ul(|color(white)(2/2)color(black)(sin^2x+cos^2x=1rArrcos^2x=1-sin^2x)color(white)(2/2)|)))#
#"and " color(red)(bar(ul(|color(white)(2/2)color(black)(sec^2x=1/cos^2x)color(white)(2/2)|)))#
#rArrsec^2x(1-sin^2x)#
#=1/cancel(cos^2x)^1xxcancel(cos^2x)^1#
#=1#
