Question

Question #883c2

Answer 1

See below.

Explanation:

`sec(2θ) = 3`

so, `1/cos(2θ) = 3`

`=> cos(2θ) = 1/3`

`=> 2θ = ±1.23 + 2nπ....` for `n = 0, 1, 2,...`

so, `θ = ±0.62 + nπ`

Then,

`θ = 0.62, 2.52, 3.76 and 5.66`

for `0 ≤ θ ≤ 2π`

:)>

Answer 2

`+- 35^@26`

Explanation:

sec 2t = 3
`1/(cos 2t) = 3`
`cos 2t = 1/3`
Calculator and unit circle give -->
`2t = +- 70^@52` -->
`t = +- 35^@26`
Note: `(-35^@26)` is co-terminal to `(324^@74)`
Answers for [0, 360]:
`35^@26; 324^@74`