Let $(-2, -4)$ be a point on the terminal side of an angle $theta$ in standard position. Find the exact value...












-1












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Let $(-2, -4)$ be a point on the terminal side of an angle $theta$ in standard position. Find the exact value of $sec{(theta)}$.



Can you give me the answer?










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  • $begingroup$
    What does "terminal side of an angle in standard position" mean?
    $endgroup$
    – Matti P.
    Jan 18 at 12:47






  • 1




    $begingroup$
    Welcome to MathSE. When you pose a question here, it is expected that you include your own thoughts on the problem. Please tell us what you know, show what you have attempted, and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
    $endgroup$
    – N. F. Taussig
    Jan 18 at 12:47










  • $begingroup$
    @MattiP. The problem describes a directed angle with vertex at the origin and initial side on the positive x-axis. The directed angle is measured from the positive $x$-axis to the terminal side, which passes through the point $(-2, -4)$. Counterclockwise (anti-clockwise) rotations are considered to have positive measures, and clockwise rotations considered to have negative measures.
    $endgroup$
    – N. F. Taussig
    Jan 18 at 12:49












  • $begingroup$
    Well, it seems to be a completely standard trigonometric problem. You only need to draw a picture and think what $sec{theta}$ represents.
    $endgroup$
    – Matti P.
    Jan 18 at 12:51
















-1












$begingroup$


Let $(-2, -4)$ be a point on the terminal side of an angle $theta$ in standard position. Find the exact value of $sec{(theta)}$.



Can you give me the answer?










share|cite|improve this question











$endgroup$












  • $begingroup$
    What does "terminal side of an angle in standard position" mean?
    $endgroup$
    – Matti P.
    Jan 18 at 12:47






  • 1




    $begingroup$
    Welcome to MathSE. When you pose a question here, it is expected that you include your own thoughts on the problem. Please tell us what you know, show what you have attempted, and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
    $endgroup$
    – N. F. Taussig
    Jan 18 at 12:47










  • $begingroup$
    @MattiP. The problem describes a directed angle with vertex at the origin and initial side on the positive x-axis. The directed angle is measured from the positive $x$-axis to the terminal side, which passes through the point $(-2, -4)$. Counterclockwise (anti-clockwise) rotations are considered to have positive measures, and clockwise rotations considered to have negative measures.
    $endgroup$
    – N. F. Taussig
    Jan 18 at 12:49












  • $begingroup$
    Well, it seems to be a completely standard trigonometric problem. You only need to draw a picture and think what $sec{theta}$ represents.
    $endgroup$
    – Matti P.
    Jan 18 at 12:51














-1












-1








-1





$begingroup$


Let $(-2, -4)$ be a point on the terminal side of an angle $theta$ in standard position. Find the exact value of $sec{(theta)}$.



Can you give me the answer?










share|cite|improve this question











$endgroup$




Let $(-2, -4)$ be a point on the terminal side of an angle $theta$ in standard position. Find the exact value of $sec{(theta)}$.



Can you give me the answer?







algebra-precalculus trigonometry






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 18 at 13:00









idriskameni

641319




641319










asked Jan 18 at 12:45









Renee HaasRenee Haas

61




61












  • $begingroup$
    What does "terminal side of an angle in standard position" mean?
    $endgroup$
    – Matti P.
    Jan 18 at 12:47






  • 1




    $begingroup$
    Welcome to MathSE. When you pose a question here, it is expected that you include your own thoughts on the problem. Please tell us what you know, show what you have attempted, and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
    $endgroup$
    – N. F. Taussig
    Jan 18 at 12:47










  • $begingroup$
    @MattiP. The problem describes a directed angle with vertex at the origin and initial side on the positive x-axis. The directed angle is measured from the positive $x$-axis to the terminal side, which passes through the point $(-2, -4)$. Counterclockwise (anti-clockwise) rotations are considered to have positive measures, and clockwise rotations considered to have negative measures.
    $endgroup$
    – N. F. Taussig
    Jan 18 at 12:49












  • $begingroup$
    Well, it seems to be a completely standard trigonometric problem. You only need to draw a picture and think what $sec{theta}$ represents.
    $endgroup$
    – Matti P.
    Jan 18 at 12:51


















  • $begingroup$
    What does "terminal side of an angle in standard position" mean?
    $endgroup$
    – Matti P.
    Jan 18 at 12:47






  • 1




    $begingroup$
    Welcome to MathSE. When you pose a question here, it is expected that you include your own thoughts on the problem. Please tell us what you know, show what you have attempted, and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
    $endgroup$
    – N. F. Taussig
    Jan 18 at 12:47










  • $begingroup$
    @MattiP. The problem describes a directed angle with vertex at the origin and initial side on the positive x-axis. The directed angle is measured from the positive $x$-axis to the terminal side, which passes through the point $(-2, -4)$. Counterclockwise (anti-clockwise) rotations are considered to have positive measures, and clockwise rotations considered to have negative measures.
    $endgroup$
    – N. F. Taussig
    Jan 18 at 12:49












  • $begingroup$
    Well, it seems to be a completely standard trigonometric problem. You only need to draw a picture and think what $sec{theta}$ represents.
    $endgroup$
    – Matti P.
    Jan 18 at 12:51
















$begingroup$
What does "terminal side of an angle in standard position" mean?
$endgroup$
– Matti P.
Jan 18 at 12:47




$begingroup$
What does "terminal side of an angle in standard position" mean?
$endgroup$
– Matti P.
Jan 18 at 12:47




1




1




$begingroup$
Welcome to MathSE. When you pose a question here, it is expected that you include your own thoughts on the problem. Please tell us what you know, show what you have attempted, and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
$endgroup$
– N. F. Taussig
Jan 18 at 12:47




$begingroup$
Welcome to MathSE. When you pose a question here, it is expected that you include your own thoughts on the problem. Please tell us what you know, show what you have attempted, and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
$endgroup$
– N. F. Taussig
Jan 18 at 12:47












$begingroup$
@MattiP. The problem describes a directed angle with vertex at the origin and initial side on the positive x-axis. The directed angle is measured from the positive $x$-axis to the terminal side, which passes through the point $(-2, -4)$. Counterclockwise (anti-clockwise) rotations are considered to have positive measures, and clockwise rotations considered to have negative measures.
$endgroup$
– N. F. Taussig
Jan 18 at 12:49






$begingroup$
@MattiP. The problem describes a directed angle with vertex at the origin and initial side on the positive x-axis. The directed angle is measured from the positive $x$-axis to the terminal side, which passes through the point $(-2, -4)$. Counterclockwise (anti-clockwise) rotations are considered to have positive measures, and clockwise rotations considered to have negative measures.
$endgroup$
– N. F. Taussig
Jan 18 at 12:49














$begingroup$
Well, it seems to be a completely standard trigonometric problem. You only need to draw a picture and think what $sec{theta}$ represents.
$endgroup$
– Matti P.
Jan 18 at 12:51




$begingroup$
Well, it seems to be a completely standard trigonometric problem. You only need to draw a picture and think what $sec{theta}$ represents.
$endgroup$
– Matti P.
Jan 18 at 12:51










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