How do you prove? tan^2 x csc x = tan x sec x

1 Answer
Jul 31, 2017

#"see explanation"#

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"#