How do you verify #tan^5 x = tan ^3 x sec^2 x - tan^3 x#?
2 Answers
Mar 10, 2018
Mar 10, 2018
Explanation:
#"using the "color(blue)"trigonometric identity"#
#•color(white)(x)1+tan^2x=sec^2x#
#"consider the left side"#
#tan^5x=tan^3x xxtan^2x#
#color(white)(tan^5x)=tan^3x(sec^2x-1)#
#color(white)(tan^5x)=tan^3xsec^2x-tan^3x=" right side"#