Question

if Sin A minus b equal to zero Cos A + B equal 0,0 greater than a + b greater than 90 find a and b

Answer 1

$Given \: i )sin(A-B) = 0$

$\implies Sin(A-B) = Sin 0\degree$

$\implies A - B = 0\\\implies A = B \: ---(1)$

$Given \: ii )Cos (A+ B) = 0$

$\implies Cos(A+B) = Cos 90\degree$

$\implies A + B = 90 \: ---(2)$

$\implies A + A = 90 \: [ From \: (1) ]$

$\implies 2A = 90$

$\implies A = \frac{90}{2}$

$\implies A = 45\degree \: --(3)$

$\therefore\red{ A = B } \green {= 45\degree}$

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