218k views
12 votes
Solve the Equation sec (theta)=2 for 0<2.

User Ty Smith
by
2.9k points

2 Answers

5 votes

θ

=

2

π

3

+

2

π

n

,

4

π

3

+

2

π

n

, for any integer

n

User Tom Harrington
by
2.7k points
10 votes


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

User Mediaczar
by
3.4k points