Solve the Equation for Solutions Over the Interval [0 $[ 0,2 \pi )$

question 44

Multiple Choice

Solve the equation for solutions over the interval [0, $[ 0,2 \pi )$ ) . Write solutions as exact values or to four decimal places, as
appropriate.
-Let $( a , b )$ and (c, d) be two points in the first quadrant, and let $\theta$ be the angle between the line segme connecting $( a , b )$ with the origin and the line segment connecting (c, d) with the origin. It can be shor $\cos \theta = \frac { a c + b d } { \sqrt { \left( a ^ { 2 } + b ^ { 2 } \right) \left( c ^ { 2 } + d ^ { 2 } \right) } }$
Find $\theta$ if $a = 4 , b = 2 , c = 8$ , and $d = 6$ . Give your answer in degrees rounded to the nearest hundredth.

• A) \(44.31 ^ { \circ }\)
• B) \(74.44 ^ { \circ }\)
• C) \(63.43 ^ { \circ }\)
• D) \(10.30 ^ { \circ }\)

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Definitions:

Mirror Neurons

Neurons that fire both when an individual acts and when the individual observes the same action performed by another, thought to play a role in learning and empathy.

Simulate

To imitate or replicate the appearance, function, or conditions of (something) for study, training, or analysis.

Observational Learning

The method of learning that occurs through observing the behavior of others and the outcomes of those behaviors.

Classical Conditioning

An associative learning process where a neutral stimulus comes to elicit a response after being paired with a stimulus that naturally brings about that response.