The Figure Shows an Angle θ in Standard Position with Its

question 164

Multiple Choice

The figure shows an angle θ in standard position with its terminal side intersecting the unit circle. Evaluate the
indicated circular function value of θ.
-Find $\cos \theta$ .

• A) \(\frac { 12 } { 13 }\)
• B) \(- \frac { 5 } { 13 }\)
• C) \(- \frac { 5 } { 12 }\)
• D) \(- \frac { 12 } { 13 }\)

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Definitions:

Half-Life

The time required for a quantity to reduce to half its initial value, often used in the context of radioactive decay.

\(24\left(\frac{1}{2}\right)^{\frac{t}{30}}\)

An exponential function representing the decay or growth of a quantity, where 24 is the initial value, \(\frac{1}{2}\) is the base of the exponent signifying decay, and \(\frac{t}{30}\) is the exponent indicating time or another variable at which the decay occurs.

U.S. Census Bureau

The federal agency responsible for collecting and analyzing data about the American people and economy.

\(203.0(1.0107)^t\)

This expression models exponential growth or decay, depending on the context, where 203.0 is the initial quantity, 1.0107 represents the growth (or decay) rate, and \(t\) is the time variable.