An equation is given Enter your answers as a commaseparated

An equation is given. (Enter your answers as a comma-separated list. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)

sec ?/2= cos ?/2

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Solution

sec /2 = cos /2

1/ cos /2 = cos /2

1= cos²  /2   [ cos = 2*cos² /2 - 1, cos² /2 = (cos +1) /2]

1 = cos +1 / 2

cos +1 = 2

cos = 1

cos = cos (n*pi)

   = n*pi where n = 0,2,4,6,------------------------

ii) in interval [ 0,2*pi)

   = 0