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u0860867
 2 years ago
PLS HELP trig question need someone to help me
u0860867
 2 years ago
PLS HELP trig question need someone to help me

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Gonzales
 2 years ago
Best ResponseYou've already chosen the best response.0a.) sec(x + pi/6) = 1 1/cos(x + pi/6) = 1 cos(x + pi/6) = 1

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

EulersEquation
 2 years ago
Best ResponseYou've already chosen the best response.2So, take those three numbers and subtract π/6

EulersEquation
 2 years ago
Best ResponseYou've already chosen the best response.22π  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.

EulersEquation
 2 years ago
Best ResponseYou've already chosen the best response.2Thanks for the medal, Gonzales

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

EulersEquation
 2 years ago
Best ResponseYou've already chosen the best response.2Yes  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).

u0860867
 2 years ago
Best 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

EulersEquation
 2 years ago
Best ResponseYou've already chosen the best response.22π  (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.

u0860867
 2 years ago
Best ResponseYou've already chosen the best response.0so is pi/6 not part of the domain as well @EulersEquation

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

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

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

u0860867
 2 years ago
Best ResponseYou've already chosen the best response.0i 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.

EulersEquation
 2 years ago
Best ResponseYou've already chosen the best response.2The 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.

u0860867
 2 years ago
Best ResponseYou've already chosen the best response.0oh i get it thank you @EulersEquation

u0860867
 2 years ago
Best 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

EulersEquation
 2 years ago
Best ResponseYou've already chosen the best response.2The 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).
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