SOLUTION: Please help me answer this question regarding sec, and finding csc ϴ. Problem with possible results https://s30.postimg.org/prisl7n01/sec

SOLUTION: Please help me answer this question regarding sec, and finding csc ϴ. Problem with possible results https://s30.postimg.org/prisl7n01/sec_csc.png Thank you.

Question 1063068: Please help me answer this question regarding sec, and finding csc ϴ.
Problem with possible results

https://s30.postimg.org/prisl7n01/sec_csc.png
Thank you.
Found 3 solutions by Apples_21, rothauserc, ikleyn:
Answer by Apples_21(13)   (Show Source): You can put this solution on YOUR website!
sdfsdf
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
sec(pi/2 - theta) = sqrt(3)/2 then
:
Note that sec(pi/2 - theta) = csc(theta)
:
**************************
therefore the answer is C)
**************************
:
How do we prove this?
:
Note that cos(pi/2) = 0 and sin(pi/2) = 1
:
sec(pi/2 - theta) = 1 / cos(pi/2 - theta) = 1 / (cos(pi/2)cos(theta) + sin(pi/2)sin(theta)) = 1 / sin(theta)
:
1 / sin(theta) = csc(theta)
:

Answer by ikleyn(52851)   (Show Source): You can put this solution on YOUR website!
.
Dear tutor "rothauserc" !

sec is always greater or equal to 1, OR lesser or equal to -1.

It CAN NOT be between -1 and 1.

The number = 0.866 is between -1 and 1.

IT CAN NOT BE the value of "sec" ! ! ! ! ! ! ! ! ! !

    DEAR TUTORS !

        YOU SIMPLY DON"T KNOW SIMPLEST FACTS OF TRIGONOMETRY ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !

               WHAT ARE YOU DOING HERE ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?

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SOLUTION: Please help me answer this question regarding sec, and finding csc &#1012;. Problem with possible results https://s30.postimg.org/prisl7n01/sec_csc.png Thank you.

SOLUTION: Please help me answer this question regarding sec, and finding csc ϴ. Problem with possible results https://s30.postimg.org/prisl7n01/sec_csc.png Thank you.