Which of the following is cot (theta) sec (theta) in simplified form? csc theta tan theta - 1 1

csc (theta)

Step-by-step explanation:

we have

cot (theta) * sec (theta)

we know that

cot (theta) = cos (theta) / sin (theta)

sec (theta) = 1/cos (theta)

csc (theta) = 1/sin (theta)

so

substitute in the given expression

cot (theta) * sec (theta) = (cos (theta) / sin (theta)) * (1/cos (theta))

Simplify

(cos (theta) / sin (theta)) * (1/cos (theta)) = 1/sin (theta)

and

1/sin (theta) = csc (theta)

therefore

cot (theta) * sec (theta) = csc (theta)