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

Marvin Mccormick

Marvin Mccormick

Answered question

2021-01-17

Solve the equation cscxsinx=cotxcosx

Answer & Explanation

Fatema Sutton

Fatema Sutton

Skilled2021-01-18Added 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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