Question

Solve the Equation sec (theta)=2 for 0<2.

Answer 1

θ

=

2

π

3

+

2

π

n

,

4

π

3

+

2

π

n

, for any integer

n

Answer 2

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