Question

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

Answer 1

Answer:

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)