How to find sec(theta) when sin(theta) and tan(theta) are given

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SUMMARY

The discussion focuses on calculating sec(theta) given sin(theta) and tan(theta). With sin(theta) = 5/13 and tan(theta) = -5/12, the relationship sec(theta) = 1/cos(theta) is established. Participants clarify the definitions of sec(theta) and tan(theta) to assist a newcomer in understanding the problem. The conversation emphasizes the importance of knowing trigonometric identities to solve for sec(theta) accurately.

PREREQUISITES
  • Understanding of basic trigonometric functions: sine, cosine, and tangent
  • Familiarity with trigonometric identities, specifically secant and cosine
  • Ability to manipulate fractions and ratios in mathematical equations
  • Basic knowledge of the unit circle and angle measures
NEXT STEPS
  • Study the relationship between sine, cosine, and secant functions
  • Learn how to derive trigonometric identities from known values
  • Practice solving trigonometric equations using given values
  • Explore the unit circle to understand the signs of trigonometric functions in different quadrants
USEFUL FOR

Students learning trigonometry, educators teaching trigonometric identities, and anyone needing to solve problems involving secant, sine, and tangent functions.

Alice Shield
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Homework Statement


Sin theta = 5/13
Tan theta = -5/12

Homework Equations


I don't know what equation to use

The Attempt at a Solution


I'm not sure if I did it right on the calculator
 
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Hello Alice, :welcome:

Not the way things go, here in PF : see guidelines

To get started: do you know what ##\sec\theta## is ?
 
BvU said:
Hello Alice, :welcome:

Not the way things go, here in PF : see guidelines

To get started: do you know what ##\sec\theta## is ?
Sorry it's my first time using this site and I'm still learning how to get around here.
Sec theta is 1/ cos theta?
 
Alice Shield said:
Sorry it's my first time using this site and I'm still learning how to get around here.
Sec theta is 1/ cos theta?

Okay, and ##\tan \theta##?
 

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