Question

(HELP ASAP HIGH POINTS) Which double-angle or half-angle identity would you use to verify the following:

Answer 1

B

Explanation:

Using the trigonometric identities

• cscx =
`(1)/(sinx)` and secx =
`(1)/(cosx)`

Consider the left side

cscx sec x =
`(1)/(sinx)` ×
`(1)/(cosx)` =
`(1)/(sinxcosx)`

Consider the right side

2 csc2x =
`(2)/(sin2x)` =
`(2)/(2sinxcosx)` =
`(1)/(sinxcosx)`

left side = right side hence identity is verified