Given that \(\displaystyle{{\cos{{160}}}^{\circ}=}-{q}\), express \(\displaystyle{{\cos{{70}}}^{\circ}}\) in

Pablo Dennis

Pablo Dennis

Answered question

2022-03-24

Given that cos160=q, express cos70 in terms of q.

Answer & Explanation

membatas0v2v

membatas0v2v

Beginner2022-03-25Added 19 answers

cos(160)=q
cos(18020)=q
cos(20)=q
Because cos(180x)=cos(x)
cos(20)=q
cos(70)=cos(9020)=sin(20)=1q2
First because cos(90x)=sin(x) and second cos2(x)+sin2(x)=1 and the fact 20 is in the first quadrant (and then is positive)

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