Asked by Natalie
Prove or disprove the following identity:
cos (x+pi/6) +sin (x-pi/3) = 0
cos (x+pi/6) +sin (x-pi/3) = 0
Answers
Answered by
Reiny
I will use 30° and 60° , easier to type
cos (x+300) +sin (x-60)
= cosxcos30 - sinxsin30 + sinxcos60 - cosxsin60
= (√3/2)cosx - (1/2)sinx + (1/2)sinx - (√3/2)cosx
= 0
= RS
cos (x+300) +sin (x-60)
= cosxcos30 - sinxsin30 + sinxcos60 - cosxsin60
= (√3/2)cosx - (1/2)sinx + (1/2)sinx - (√3/2)cosx
= 0
= RS
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