Use the Fundamental Identities to Find the Value of the Trigonometric

question 2

Multiple Choice

Use the fundamental identities to find the value of the trigonometric function.
-An alien observer on Planet X can approximate distances in the sky by using his "hand" at arm's length. An outstretched hand is about 35 arc degrees, a clenched fist is about 25 arc degrees, and a
Thumb corresponds to about 1 arc degree. (i) If one clenched fist plus one outstretched hand covers
The distance between two stars, about how far apart in arc degrees are the stars? (ii) The apparent
Size of Moon X as observed from Planet X is about 21 arc minutes. Approximately what part of an
Observer's thumb would cover Moon X?

• A) (i) 26 arc degrees; (ii) approximately \(\frac { 1 } { 2 }\) of a thumb
• B) (i) 60 arc degrees; (ii) approximately \(\frac { 1 } { 3 }\) of a thumb
• C) (i) 50 arc degrees; (ii) approximately \(\frac { 1 } { 4 }\) of a thumb
• D) (i) 61 arc degrees; (ii) approximately \(\frac { 1 } { 5 }\) of a thumb

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Definitions:

Priority

The status given to tasks or objectives based on their importance or urgency, determining the order in which they are addressed or executed.

Degree of Interaction

The extent or level of communication, involvement, or influence among participants or variables within a study or situation.

Mixed Methods Designs

Research approaches that combine qualitative and quantitative methods to gather and analyze data.

Analyzed Simultaneously

The process of examining multiple variables or data points at the same time to understand relationships or patterns.