Step-by-step explanation:
the mistake was made when the value of cos 3 pi over 2 was calculated.
tan(A-B)= ?since tan=sin/cos
<u>sin</u><u>(</u><u>A-B</u><u>)</u> = <u>sinAcosB-cosAsinB</u>
cos(A-B) cosAcosB+sinAsinB
divide by cos on the RHS
tan(A-B)= <u>tanA-tanB</u>
1+tanAtanB