Question

Which of the following is cot(θ) sec(θ) in simplified form?

a.csc θ
b.tanθ
c.-1
d.1

Answer 1

a

Explanation:

using the trigonometric identities

• cotθ =
`(cos0)/(sin0)`

• secθ =
`(1)/(cos0)`

• cscθ =
`(1)/(sin0)`

given

cotθsecθ

=
`(cos0)/(sin0)` ×
`(1)/(cos0)` ( cancel cosθ on numerator/ denominator )

=
`(1)/(sin0)`

= cscθ