Suppose ABC Is a Right Triangle with Sides of Lengths $\cot \mathrm { A }$

question 57

Multiple Choice

Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using
the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize
the denominator if applicable.
-Find $\cot \mathrm { A }$ when $\mathrm { a } = 9$ and $\mathrm { c } = 10$ .

• A) \(\frac { 10 \sqrt { 19 } } { 19 }\)
• B) \(\frac { \sqrt { 19 } } { 10 }\)
• C) \(\frac { 9 \sqrt { 19 } } { 19 }\)
• D) \(\frac { \sqrt { 19 } } { 9 }\)

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Definitions:

Normative Influence

When people conform to social norms for fear of negative social consequences.

Presence of Others

The phenomenon of how an individual's thoughts, feelings, and behaviors can be influenced by the physical or imagined presence of others.

Helping Behavior

Acts performed with the goal of benefiting another person, regardless of the helper's motives.

Conformity

The tendency to align one's attitudes, beliefs, and behaviors with those of a group or social norm.