How do you prove? tan^2 x csc x = tan x sec x
1 Answer
Jul 31, 2017
Explanation:
#"using the "color(blue)"trigonometric identities"#
#•color(white)(x)tanx=sinx/cosx#
#•color(white)(x)cscx=1/sinx" and " secx=1/cosx#
#"consider the left side"#
#rArrtan^2xcscx#
#=sin^2x/cos^2x xx1/sinx#
#=(cancel(sinx)sinx)/cos^2x xx1/cancel(sinx)#
#=sinx/cosx xx1/cosx#
#=tanxsecx=" right side "rArr" proved"#