Solve the equation csc x - sin x = cot x cos x

Marvin Mccormick 2021-01-17 Answered
Solve the equation cscxsinx=cotxcosx
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Expert Answer

Fatema Sutton
Answered 2021-01-18 Author has 88 answers

Work u\sing the left side
Use the reciptional identity: cscx=1sinx
cscxsinx=1sinxsinx
Simplify the right side into a \single expression:
cscxsinx=(1sin2x)sinx
Use the Pythagorean identity: sin2x+cos2x=1
cscxsinx=cos2xsinx
Separate as:
cscxsinx=cosxsinx×cosx
Use the quotient identity: cotx=cosxsinx
cscsinx=cotxcosx

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