Question

Check all that apply. if secØ= 13/12, then:

Answer 1

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:

$\cos \theta = \frac{1}{\sec \theta} = \frac{12}{13}$

$\sin \theta = \sqrt{1 - \cos^{2}\theta}$

$\sin \theta = \sqrt{1 -\left(\frac{12}{13} \right)^{2}}$

$\sin \theta = \frac{5}{13}$

$\csc \theta = \frac{1}{\sin \theta} = \frac{13}{5}$

$\tan \theta = \sqrt{\sec^{2}\theta - 1}$

$\tan \theta = \sqrt{\left(\frac{13}{12} \right)^{2}-1}$

$\tan \theta = \frac{5}{12}$

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: brainly.com/question/22624805

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