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Gonzales Group TitleBest ResponseYou've already chosen the best response.0
a.) sec(x + pi/6) = 1 1/cos(x + pi/6) = 1 cos(x + pi/6) = 1
 one year ago

EulersEquation Group TitleBest ResponseYou've already chosen the best response.2
Draw the graph for cosine. Wherever cosine x = 1, so does its reciprocal, secant! 2π, 1, and 2π
 one year ago

EulersEquation Group TitleBest ResponseYou've already chosen the best response.2
So, take those three numbers and subtract π/6
 one year ago

EulersEquation Group TitleBest ResponseYou've already chosen the best response.2
2π  π/6 is out of the domain, so throw that one away. The other two should be okay. I am answering fast and not checking my arithmetic, but remember that cosine and secant equal each other at the points I gave.
 one year ago

EulersEquation Group TitleBest ResponseYou've already chosen the best response.2
Thanks for the medal, Gonzales
 one year ago

Gonzales Group TitleBest ResponseYou've already chosen the best response.0
one correction. when you said that the solutions for cos(0) were 2(pi), 1, and 2(pi), i think you meant 0 :)
 one year ago

EulersEquation Group TitleBest ResponseYou've already chosen the best response.2
Yes  my error! cos (0) = 1. Notice that the problem asks for sec(x+ π/6). That means (I believe) that you need to subtract π/6 from each of those points. Be careful not to go out of the domain, though (2π to 2π).
 one year ago

u0860867 Group TitleBest ResponseYou've already chosen the best response.0
@EulersEquation just wanted to know why \[2\pi(\pi/6) \] is not in the domain will the value no be less than 2 pi
 one year ago

EulersEquation Group TitleBest ResponseYou've already chosen the best response.2
2π  (π/6) = (11π)/6, which is in the domain, and is one of your answers. The other answer is 0  π/6 = π/6 However, 2π  (π/6) = (13π)/6 is just outside the domain to the left.
 one year ago

u0860867 Group TitleBest ResponseYou've already chosen the best response.0
so is pi/6 not part of the domain as well @EulersEquation
 one year ago

EulersEquation Group TitleBest ResponseYou've already chosen the best response.2
It is, and is one of your answers.
 one year ago

u0860867 Group TitleBest ResponseYou've already chosen the best response.0
but how is pi/6 in the domain @EulersEquation sorry for hassling u again and again really need help
 one year ago

EulersEquation Group TitleBest ResponseYou've already chosen the best response.2
The domain is given as 2π <= x <= 2π. So, π/6 falls within that interval. does it not?
 one year ago

u0860867 Group TitleBest ResponseYou've already chosen the best response.0
i am not sure @EulersEquation if u don't mind could u pls explaint o me how pi/6 fall in the domain i have just started this topic and i am not very confident with it i would be really grateful if u could explain this to me.
 one year ago

EulersEquation Group TitleBest ResponseYou've already chosen the best response.2
The domain is given by the interval 2π <= x <= 2π Since π/6 is greater than 2π and is less than 2π, it falls within the given interval.
 one year ago

u0860867 Group TitleBest ResponseYou've already chosen the best response.0
oh i get it thank you @EulersEquation
 one year ago

u0860867 Group TitleBest ResponseYou've already chosen the best response.0
@EulersEquation so for the second part of the question will the answers be pi/2 and 3pi/2
 one year ago

EulersEquation Group TitleBest ResponseYou've already chosen the best response.2
The inverse of csc is sin, so you can use the sine graph. sin (π/2) = 1, so in order for sin(x/3) = 1, x/3 = π/2. Solving for x gives x = 3π/2. The other place in the interval where sin x = 1 is at sin(3π/2). Solving the equation x/3 = 3π/2, gives x = 9π/2, which is clearly outside the domain. So the only answer is x = 3π/2. I think (you may need to check my arithmetic).
 one year ago
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