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)

Answer Link

Otras preguntas

the perimeter of a rectangle is 222 millimeters if the length of the rectangle is 60 millimeters what is the width of the rectangle
Benjamin finished his triathlon in 12.44 hours. During the race, he drank 460.28 fluid ounces of liquid. How many fluid ounces did he drink per hour?
If the number in the numerator of a unit rate is one what does this indicate about the equivalent unit rate
Simplify n+n+n+n ?????
Solve. 11+3X=7X+27 i got 1.7
It takes 72,000 gallons of water to fill 12 above-ground swimming pools. Each pool holds the same amount of water. How many gallons of water will fill each swi
Which region of Washington has the diversity of the beaches of the Pacific Ocean, the Straits of Juan de Fuca, valleys, mountains and rain forest. Olympic Penin
what service did the byzantine empire perform for european civilization?
What have farmers in the Amazon River Basin found to be the cause of reductions in the soil's fertility? ( a) the scarcity of tractors and modern farm equipment
the base si unit for electric is the