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a.) sec(x + pi/6) = 1
1/cos(x + pi/6) = 1
cos(x + pi/6) = 1

Draw the graph for cosine. Wherever cosine x = 1, so does its reciprocal, secant!
-2π, 1, and 2π

So, take those three numbers and subtract π/6

Thanks for the medal, Gonzales

so is -pi/6 not part of the domain as well @EulersEquation

It is, and is one of your answers.

but how is -pi/6 in the domain @EulersEquation sorry for hassling u again and again really need help

The domain is given as -2π <= x <= 2π. So, -π/6 falls within that interval. does it not?

oh i get it thank you @EulersEquation

@EulersEquation so for the second part of the question will the answers be -pi/2 and -3pi/2