Verfiy the identity sinx(cscx + sinxsec^2x)= sec^2 x?

1 Answer
Bdub
Oct 31, 2017

see below

Explanation:

#sinx(cscx + sinx sec^2 x)=sec^2x#

Left Hand Side:

#=sinx(cscx + sinx sec^2 x)#

#=sin x cscx+sin^2xsec^2x#---> Distribute

#=sinx* 1/sinx+sin^2x*1/cos^2x#

#=cancelsinx* 1/cancelsinx+sin^2x/cos^2x#

#=1+tan^2x#

#=sec^2x#

#=# Right Hand Side

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