Math, asked by pargatsinghy22, 4 months ago

the period of cos (theta/2) is

Answers

Answered by mathdude500
10

Step-by-step explanation:

the period of cos (theta/2) is 4 pie.

Answered by pulakmath007
35

SOLUTION

TO DETERMINE

 \displaystyle \sf{The \:  period  \: of \:  \:  \cos \frac{ \theta}{2} }

FORMULA TO BE IMPLEMENTED

For a function f(x) of the form f(x) = a cos(bx+c)

Amplitude = | a |

 \displaystyle \sf{The \:  period  \:  =  \:  \frac{2\pi}{b} }

EVALUATION

Here the given function is

 \displaystyle \sf{f( \theta) = \:  \:  \cos \frac{ \theta}{2} }

Hence

 \displaystyle \sf{The \:  period  \: of \:  \:  \cos \frac{ \theta}{2} }

 \displaystyle \sf{ =  \frac{2\pi}{ \frac{1}{2} }  }

 \displaystyle \sf{ = 4\pi }

FINAL ANSWER

 \displaystyle \sf{The \:  period  \: of \:  \:  \cos \frac{ \theta}{2} = 4\pi }

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