Snowphie101
Snowphie101 Snowphie101
  • 05-05-2020
  • Mathematics
contestada

Simplify the expression cos(x)cot(x)+sin(x)
a. 0
b. csc(x)
c. tan(x)
d. sec(x)

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 05-05-2020

Answer:

csc(x)

Step-by-step explanation:

cos(x)cot(x)+sin(x)

We know that cot(x) = cos(x)/ sin (x)

cos(x)cos(x)/ sin(x)+sin(x)

cos^2 (x)/ sin + sin (x)

Getting a common denominator

cos^2 (x)/ sin + sin (x)* sin (x)/ sin(x)

(cos^2(x) + sin^2(x)) /sin(x)

We know that (cos^2(x) + sin^2(x)) = 1

1/sin (x)

1/ sin (x) =csc(x)

csc(x)

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