How do you solve this?

Question

sinx+secxcotx=sinx +cscx

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Answer 1 · 2018-01-27T01:43:27

#x# has infinite solutions.

.

#sinx+secxcotx=sinx+cscx#

#sinx+1/cosx*cosx/sinx-sinx-1/sinx=0#

#cancelcolor(red)sinx+1/cosx*cosx/sinxcancelcolor(red)(-sinx)-1/sinx=0#

#1/sinx-1/sinx=0#

This indicates that the equation would hold for all values of #x# like an identity.

There are infinite solutions.