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Without using calculator find the value of cos570∘sin510∘+sin(−330∘)cos(−390∘)
1 Answer
written 5.6 years ago by |
Solution:
cos570∘=cos(6×90∘+30∘)
cos570∘=−cos30∘=−√32
sin510∘=sin(6×90∘−30∘) =sin30∘=12
sin(−330∘)=−sin(330∘) =−sin(4×90∘−30∘)=−(−sin30∘)=12 cos(−390∘)=cos390∘ =cos(4×90∘+30∘)=cos30∘=√32
$\therefore \cos 570^{\circ} \sin 510^{\circ}+\sin \left(-330^{\circ}\right) \cos …