Cos A + B equal to zero and cot A-B equal to root 3 find value of a and b

cos left parenthesis A plus B right parenthesis equals 0 cos space left parenthesis A plus B right parenthesis equals cos 90 to the power of 0 A plus B equals 90 to the power of 0....... left parenthesis 1 right parenthesis c o t left parenthesis A minus B right parenthesis equals square root of 3 c o t left parenthesis A minus B right parenthesis equals c o t space 30 to the power of 0 A minus B equals space 30 to the power of 0 A equals 30 to the power of 0 plus B p u t space i n space e q u a t i o n space left parenthesis 1 right parenthesis A plus B equals 90 to the power of 0 30 to the power of 0 plus B plus B equals 90 to the power of 0 2 B equals 90 to the power of 0 minus 30 to the power of 0 equals 60 to the power of 0 B equals 60 to the power of 0 over 2 equals 30 to the power of 0 B equals 30 to the power of 0 n o w space A equals 30 to the power of 0 plus B equals 30 to the power of 0 plus 30 to the power of 0 equals 60 to the power of 0 A equals 60 to the power of 0 space a n d space bold italic B bold equals bold 30 to the power of bold 0

Mr. 360 Solver