Question

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Simplify: 20sin 2ø sec2ø

Answer 1

20
`\tan 2\phi`

Explanation:

20 sin 2∅ sec 2∅

= 20
`(\sin 2\phi)/(\cos 2\phi)`

= 20
`\tan 2\phi` (answer)

since, we know that

sec(∅) =
`(1)/(\cos \phi)`

and
`(\sin \phi)/(\cos \phi)` = tan(∅)