Solve the Problem $f ( \theta ) = \cos \theta$ And $f ( a ) = - \frac { 1 } { 12 }$

question 68

Multiple Choice

Solve the problem.
-If $f ( \theta ) = \cos \theta$ and $f ( a ) = - \frac { 1 } { 12 }$ , find the exact value of $f ( a ) + f ( a - 2 \pi ) + f ( a + 4 \pi )$ .

• A) \(- 36\)
• B) \(- 12\)
• C) \(- \frac { 1 } { 12 }\)
• D) \(- \frac { 1 } { 4 }\)

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Definitions:

Beta Particles

High-speed electrons or positrons emitted by certain types of radioactive decay, such as beta decay.

Alpha Particles

Helium-4 nuclei emitted during radioactive decay, consisting of two protons and two neutrons, with a +2 charge, commonly used in radiation therapy and experiments.

Positron Particles

Elementary particles of antimatter with the same mass as electrons but with a positive charge.

Gamma Rays

High-energy electromagnetic radiation emitted by radioactive atoms or in nuclear explosions, with significant applications in medical treatment and diagnostics but also potential for harm due to their penetrating power.