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Question

Find the value of cos 225


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Solution

Evaluating the value of cos225

cos225 can be expressed as

cos225=cos(180+45)

cos(180+45)=cos180×cos45sin180×sin45 ; [cos(A+B)=cos(A)×cos(B)sin(A)×sin(B)]

Substituting the values of the above angles we get,

cos180=-1,cos45=22,sin180=0andsin45=22

cos(180+45)=-1×22-0×22=-22=-12

Hence the value of cos225 is -12


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