Question #e88ad

1 Answer
Dec 13, 2017

#"see explanation"#

Explanation:

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

#•color(white)(x)tanx=sinx/cosx#

#"consider the left side"#

#(sinx+sinx/cosx)/(cosx+1)#

#=((sinxcosx+sinx)/cosx)/(cosx+1)#

#=(sinxcancel((cosx+1)))/(cosxcancel((cosx+1)))#

#=sinx/cosx=tanx=" right side"#