Respuesta :
Based on trigonometric formulas, we can find that the options that applies to the given trigonometric relationship are tan θ = 5/12 and cos θ = 12/13.
How to find the exact form of trigonometric functions
There six trigonometric functions, which are related by a group of expressions, which will be used in this question:
[tex]\cos \theta = \frac{1}{\sec \theta} = \frac{12}{13}[/tex]
[tex]\sin \theta = \sqrt{1 - \cos^{2}\theta}[/tex]
[tex]\sin \theta = \sqrt{1 -\left(\frac{12}{13} \right)^{2}}[/tex]
[tex]\sin \theta = \frac{5}{13}[/tex]
[tex]\csc \theta = \frac{1}{\sin \theta} = \frac{13}{5}[/tex]
[tex]\tan \theta = \sqrt{\sec^{2}\theta - 1}[/tex]
[tex]\tan \theta = \sqrt{\left(\frac{13}{12} \right)^{2}-1}[/tex]
[tex]\tan \theta = \frac{5}{12}[/tex]
Based on trigonometric formulas, we can find that the options that applies to the given trigonometric relationship are tan θ = 5/12 and cos θ = 12/13.
Remark
The statement is incomplete. Complete form is shown below:
Check all that apply:
If sec θ = 13/12, then:
a) sin θ = 12/13
b) tan θ = 5/12
c) cos θ = 12/13
d) csc θ = 12/13
To learn more on trigonometric equations: https://brainly.com/question/22624805
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