Question

For what number(s) x, with -2π< x < 2π, does sec(x +π/7) = 1?

Answer 1

\(\sec(x +\dfrac{π}{7}) = 1\)

Take inverse secant of both sides:
\(x + \dfrac{\pi}{7} = \sec^{-1}(1)\)

\(x = \sec^{-1}(1) - \dfrac{\pi}{7}\)

Answer 2

There's apparently more than one solution.

Answer 3

yea theres ment to be more than one solution

Answer 4

could you please help, i dont knw how to work it out??

Answer 5

Finding the rest of them has to do with the period of the secant function

Answer 6

Do you know the period of secant function?

Answer 7

i recommend memorizing the periods of the main functions also i think you can solve for them using the unit circle but i could be wrong

Answer 8

There's one other solution that is most obvious if you know the period of the function