How to simplify sin x + cot x cos x?

Abraham Banks

Abraham Banks

Answered question

2023-01-19

How to simplify sinx+cotxcosx?

Answer & Explanation

enhee8iq

enhee8iq

Beginner2023-01-20Added 9 answers

PSKAssuming the given
sinx+cotxcosx
sinx+(cosxsinx)cosx
sinx(sinxsinx)+cosxcosxsinx
because sinxsinx=1, it is always usable in any calculation or expression.
fractions having the same denominator can be combined.
it follows
sin2xsinx+cos2xsinx
sin2x+cos2xsinx
but sin2x+cos2x=1
Hence
1sinx
simplifies to
cscx

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