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

  • Thread starter Alice Shield
  • Start date
In summary, the conversation discusses the equations sin theta = 5/13 and tan theta = -5/12, with the question of which equation to use. The user also asks about the equation sec theta and confirms that it is equal to 1/cos theta.
  • #1
Alice Shield
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Member notified that some effort must be shown

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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  • #2
Hello Alice, :welcome:

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

To get started: do you know what ##\sec\theta## is ?
 
  • #3
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?
 
  • #4
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##?
 

What is sec(theta)?

Secant is a trigonometric function that is the reciprocal of cosine. It is represented as sec(theta) and is equal to 1/cos(theta).

How do you find sec(theta) when sin(theta) is given?

To find sec(theta) when sin(theta) is given, you can use the identity sec(theta) = 1/cos(theta). You will first need to find the value of cos(theta) using the Pythagorean Identity, then take the reciprocal of that value to find sec(theta).

How do you find sec(theta) when tan(theta) is given?

If tan(theta) is given, you can use the identity sec(theta) = 1/cos(theta). You can find the value of cos(theta) using the Pythagorean Identity, then take the reciprocal of that value to find sec(theta).

Can you use the Pythagorean Identity to find sec(theta)?

Yes, you can use the Pythagorean Identity, which states that sin^2(theta) + cos^2(theta) = 1, to find the value of cos(theta) when sin(theta) or tan(theta) are given. Then, you can use the identity sec(theta) = 1/cos(theta) to find sec(theta).

Are there any other methods to find sec(theta) when sin(theta) and tan(theta) are given?

Yes, you can also use the identity sec(theta) = 1/cos(theta) to find sec(theta) when sin(theta) and tan(theta) are given. You can also use the unit circle and the trigonometric ratios to find the value of sec(theta).

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