Find the value of cos 225∘

mooltattawsmq8

mooltattawsmq8

Answered

2022-12-28

Find the value of cos 225

Answer & Explanation

eyrurin3wj

eyrurin3wj

Expert

2022-12-29Added 10 answers

Determining the worth 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)]
When we substitute the above angles' values, we obtain,
cos180=-1,cos45=22,sin180=0andsin45=22
cos(180+45)=-1×22-0×22=-22=-12
Thus the value of cos225 is -12

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