How do you simplify cot(x) *sec(x)?

1 Answer
Oct 26, 2015

csc(x)

Explanation:

[1]" "cot(x)*sec(x)

Quotient Identity: cot(x)=cos(x)/sin(x)

[2]" "=cos(x)/sin(x)*sec(x)

Reciprocal Identity: sec(x)=1/cos(x)

[3]" "=cos(x)/sin(x)*1/cos(x)

[4]" "=cancelcos(x)/(sin(x)cancelcos(x))

[5]" "=1/sin(x)

Reciprocal Identity: 1/sin(x)=csc(x)

[6]" "=color(blue)(csc(x))