Find the value of the following expression: (sin(x))/(cos(-x))+(sin(-x))/(cos(x))

Cabiolab

Cabiolab

Answered question

2021-01-10

Find the value of the following expression:
sin(x)cos(x)+sin(x)cos(x)

Answer & Explanation

firmablogF

firmablogF

Skilled2021-01-11Added 92 answers

Since sin(x)=sin(x),
sin(x)cos(x)+sin(x)cos(x)=sin(x)cos(x)+sin(x)cos(x)
And since cos(x)=cos(x)
sin(x)cos(x)+sin(x)cos(x)=sin(x)cos(x)+sin(x)cos(x)
=sin(x)cos(x)+sin(x)cos(x)
=0
The answer is
sin(x)cos(x)+sin(x)cos(x)=0

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