Question

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

Answer 1

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)