Find the Exact Values of the Six Trigonometric Functions of the Angle

question 290

Multiple Choice

Find the exact values of the six trigonometric functions of the angle $\theta$ or the triangle.

• A) sin \(\theta\) = \(\frac { 3 } { 5 }\) csc \(\theta\) = \(\frac { 5 } { 3 }\) cos \(\theta\) = \(\frac { 4 } { 5 }\) sec \(\theta\) = \(\frac { 5 } { 4 }\) tan \(\theta\)= \(\frac { 3 } { 4 }\) cot \(\theta\) = \(\frac { 4 } { 3 }\)
• B)sin \(\theta\) = \(\frac { 4 } { 3 }\) csc \(\theta\) = \(\frac { 3 } { 4 }\) cos \(\theta\) = \(\frac { 5 } { 4 }\) sec \(\theta\)= \(\frac { 4 } { 5 }\) tan \(\theta\) = \(\frac { 5 } { 3 }\) cot\(\theta\)= \(\frac { 3 } { 5 }\)
• C)sin \(\theta\) = \(\frac { 4 } { 3 }\) csc \(\theta\) = \(\frac { 5 } { 3 }\) cos \(\theta\) = \(\frac { 5 } { 4 }\) sec \(\theta\) = \(\frac { 3 } { 5 }\) tan \(\theta\) = \(\frac { 3 } { 4 }\) cot \(\theta\) = \(\frac { 4 } { 5 }\)
• D)sin \(\theta\)= \(\frac { 4 } { 5 }\) csc \(\theta\) = \(\frac { 3 } { 4 }\) cos \(\theta\)= \(\frac { 3 } { 5 }\) sec \(\theta\) = \(\frac { 4 } { 3 }\) tan \(\theta\)= \(\frac { 5 } { 3 }\) cot \(\theta\) = \(\frac { 5 } { 4 }\)
• E)sin \(\theta\) = \(\frac { 4 } { 3 }\) csc \(\theta\)= \(\frac { 3 } { 5 }\) cos \(\theta\) = \(\frac { 5 } { 4 }\) sec\(\theta\)= \(\frac { 4 } { 5 }\) tan \(\theta\) = \(\frac { 5 } { 3 }\) cot \(\theta\) = \(\frac { 3 } { 4 }\)

---

Definitions:

Laggards

A term used in diffusion of innovation theory to describe individuals or groups that are last to adopt new technologies, products, or innovations, often due to skepticism or traditional values.

Continuous Innovation

The ongoing process of making regular, incremental improvements or updates to products, services, or processes.

Persuasiveness

The ability to convince others to change their beliefs, attitudes, or behaviors through argumentation or appeal.

Compatibility

The degree to which two or more elements are able to exist or work together without conflict.