Question #07db8

1 Answer
Somebody N.
Nov 27, 2017

See below.

Explanation:

This is what you have written: #cottheta/csctheta-sintheta#

If it was meant to be #cottheta/(csctheta-sintheta)# then this will obviously be wrong.

Using identities:

#color(red)(cotx=cosx/sinx)#

#color(red)(cscx=1/sinx)#

#costheta/sintheta-sintheta=(costheta/sintheta)/(1/sintheta)-sintheta#

Multiplying #(costheta/sintheta)/(1/sintheta)# by #sintheta#

#((cancelsinthetacostheta)/cancelsintheta)/((cancelsintheta1)/cancelsintheta)-sintheta=costheta-sintheta#

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