debbieperez2002
debbieperez2002 debbieperez2002
  • 24-05-2017
  • Mathematics
contestada

Simplify the expression.
((cscy+coty)(cscy-coty))/(cscy)

A. -sin(y)
B. cos(y)
C. sin(y)
D. csc(y)

50 points!!!

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Firefly720
Firefly720 Firefly720
  • 24-05-2017
should be B. I would get someone to double check me though!

Answer Link
longwoodfade longwoodfade
  • 03-01-2021

Answer:

sin y

Step-by-step explanation:

Start with the numerator

(csc y + cot y)(csc y - cot y)=csc²y - cot²y

cot²y = csc²y -1

replace cot²y with csc²y -1

csc²y - csc²y +1 =1

Then 1/csc y = sin y

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