Question

Verify the identity. sinθ *secθ *cotθ =1

Answer 1

see explanation

Explanation:

using the identities

• secθ =
`(1)/(cos0)`

• cotθ =
`(cos0)/(sin0)`

consider the left side

sinθ secθ cotθ

= sinθ ×
`(1)/(cos0)` ×
`(cos0)/(sin0)`

=
`(sin0)/(cos0)` ×
`(cos0)/(sin0)`

cancel sinθ and cosθ on numerators/ denomonators

= 1

= right side , thus verified