SOLUTION: Approximate, to the nearest 10l, the solutions of the equation that are in [0c, 360c). sec q = -1.116 I don't knoq what to do. Please help!

Question 1090326: Approximate, to the nearest 10l, the solutions of the equation that are in
[0c, 360c).
sec q = -1.116
I don't knoq what to do. Please help!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
What did you mean by "to the nearest 10l" ?
Was it a typo and you meant to the nearest ?
Are you allowed to use a calculator?
I believe you are asking for solutions to
in the interval

.
The interval

is the values between (included) and (not included),
so you are looking for solutions with .
The trigonometric function is secant, which is the reciprocal of cosine, meaning
.
The graph of the function ,
with measured in degrees looks like the red curve below:
.
The graph of the function ,
with measured in degrees looks like the red curve below:
.
The solutions to
in the interval

are the values for the two circled points marked below
.
Those two points are the only points on the graph with
and between and .
Finding solutions:

.
Using the function inverse cosine in a calculator you can find
the solution for that is between and ,
(the second quadrant solution):

.
So, is third quadrant solution,
but if we want one between and ,
we need to add , to get

.
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