Question #883c2

2 Answers

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

:)>

May 24, 2017

+- 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