Select a Right Triangle Corresponding to the Trigonometric Function of the Acute

question 13

Multiple Choice

Select a right triangle corresponding to the trigonometric function of the acute angle ?.Use the Pythagorean Theorem to determine the third side and then find the other five trigonometric functions of ?. ?
Tan ? = $\frac { 5 } { 12 }$ ?
?
Sin ? = $\frac { 5 } { 13 }$ csc ? = $\frac { 13 } { 5 }$ cos ? = $\frac { 12 } { 13 }$ sec ? = $\frac { 13 } { 12 }$ tan ? = $\frac { 5 } { 12 }$ cot ? = $\frac { 12 } { 5 }$ ?

• A)? sin ? = \[\frac { 5 } { 13 }\] Csc ? = \(\frac { 13 } { 5 }\) Cos ? = \(\frac { 12 } { 13 }\) Sec ? = \(\frac { 13 } { 12 }\) Tan ? = \(\frac { 5 } { 12 }\) Cot ? = \(\frac { 12 } { 5 }\) ?
• B)? sin ? = \[\frac { 5 } { 13 }\] Csc ? = \(\frac { 5 } { 12 }\) Cos ? = \(\frac { 12 } { 13 }\) Sec ? = \(\frac { 12 } { 5 }\) Tan ? = \(\frac { 13 } { 5 }\) Cot ? = \(\frac { 13 } { 12 }\) ?
• C)? sin ? = \[\frac { 13 } { 12 }\] Csc ? = \(\frac { 13 } { 5 }\) Cos ? = \(\frac { 12 } { 5 }\) Sec ? = \(\frac { 5 } { 13 }\) Tan ? = \(\frac { 5 } { 12 }\) Cot ? = \(\frac { 12 } { 13 }\) ?
• D)? sin ? = \[\frac { 13 } { 5 }\] Csc ? = \(\frac { 5 } { 13 }\) Cos ? = \(\frac { 13 } { 12 }\) Sec ? = \(\frac { 12 } { 13 }\) Tan ? = \(\frac { 12 } { 5 }\) Cot ? = \(\frac { 5 } { 12 }\) ?
• E)? sin ? = \[\frac { 12 } { 5 }\] Csc ? = \(\frac { 5 } { 12 }\) Cos ? = \(\frac { 13 } { 12 }\) Sec ? = \(\frac { 12 } { 13 }\) Tan ? = \(\frac { 13 } { 5 }\) Cot ? = \(\frac { 5 } { 13 }\) ?

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Definitions:

Average Variable Cost

The variable costs associated with production, when divided by the number of units produced, indicate the cost per unit.

Marginal Cost

The cost of producing one additional unit of a good or service, an important concept in economics for determining the optimal level of production.

Average Total Cost

The total cost to produce a given quantity of output divided by the quantity of output produced; it includes all opportunity costs.

Diminishing Marginal Returns

Refers to a point in production where adding an additional factor of production results in a smaller increase in output.