If cos (a+b)=1/2 and cos (a-b)=0, 0b, find a and b?
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cos(a+b) = 1/2
cos(a+b) = cos 60°
a+b = 60° ---(1)
cos(a-b) = 0
cos(a-b) = cos 90°
a-b = 90° ----(2)
add equation 1 and 2
a-b + (a + b ) = 90° + 60°
2a = 150°
a=75°
put the value of a in equation 1
75°+b=60°
b=60°-75°= -15°
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