Simplify the expression cos (x) cot (x) + sin (x)

a. 0

b. csc (x)

c. tan (x)

d. sec (x)

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)