How do you simply (csc x + sec x)(sin x - cos x) ?

1 Answer
Hriman · sankarankalyanam
Mar 6, 2018

#color(green)(tanx-cotx#

Explanation:

#(csc x + sec x)(sin x - cos x)#

#=> cscxsinx-cscxcosx+secxsinx-secxcosx#

#=> (1/cancel(sinx)) * cancel(sinx)-(1/sinx) * cosx+ (1/cosx) * sinx - (1/cancel(cosx)) * cancel(cosx)#

#=> cancel(1) - cotx + tanxcancel(-1)#

#=> color(green)(tanx-cotx#

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