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

Predict the chemical formula of butyne, having one carbon-carbon triple bond.
Which of the following refers to Napoleon's blockade of British goods? a. Continental System c. The Directorate b. The Consulate d. The Concordat Please sel
Hypocrite hysterical do these words have the same meanings
All of the following were effects of the GI Bill EXCEPT which one? A. It fueled construction in the United States. B. It fueled the expansion of colleges and u
I need help on 2 and 3 please
The Turks were defeated by Crusaders at Jerusalem because
Nuts are a good source of vitamin E. a. True b. False
The 1469 marriage of Prince Ferdinand and Queen Isabella created which nation? A. Portugal B. Castile C. Spain D. Aragon
9 lb equals how many ounces
Homeostasis is the body's ability to maintain constant _______ conditions when _______ conditions change. a. internal; external b. external; internal c. oxyg