394,526 views
32 votes
32 votes
Solve the Equation sec (theta)=2 for 0<2.

User Drew Dello Stritto
by
2.5k points

2 Answers

22 votes
22 votes

θ

=

2

π

3

+

2

π

n

,

4

π

3

+

2

π

n

, for any integer

n

User Dragunov
by
3.1k points
13 votes
13 votes


~~~\sec \theta = 2\\\\\implies (\cos \theta)^(-1) = 2\\\\\implies \cos \theta =\frac 12\\ \\\implies \theta = 2n\pi \pm \frac{\pi}3

User Fabian Amran
by
2.3k points