EDITED
Given sin(A)=−21 and π is less than a is less than 23π and cos(B)=−41 in quadrant IV
Find: sin(A−B)
sin(A−B)=[sin(A)][cos(B)]+[cos(A)][sin(B)]
−21(−41)+[cos(A)][(sin(B)]
Find angle A and B:
arcsin(−21)=−30∘=A
arccos(−41)=104.5∘=B
Now find rest:
cos(−30∘)=23
sin(104.5∘)=1
Now back to the problem:
−21(−41)+(23)(1)
61+43 Final answer
Given sin(A)=−21 and π is less than a is less than 23π and cos(B)=−41 in quadrant IV
Find: sin(A−B)
sin(A−B)=[sin(A)][cos(B)]+[cos(A)][sin(B)]
−21(−41)+[cos(A)][(sin(B)]
Find angle A and B:
arcsin(−21)=−30∘=A
arccos(−41)=104.5∘=B
Now find rest:
cos(−30∘)=23
sin(104.5∘)=1
Now back to the problem:
−21(−41)+(23)(1)
61+43 Final answer
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