10 2 26. 8 2 ) -, where A, B are positive acute angles, prove that (i) If sin A = 15 and cos B = A + B = 45°. If cos A - 1 13

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( sin A=frac{1}{55}, cos B=frac{3}{510} ) ( Rightarrow cos A=frac{2}{55} quadleft{1 sin 3=frac{1}{sqrt{10}}right. ) New, ( sin A cos B+cos A sin A=sin (A+3) ) ( Rightarrow frac{3}{5 sqrt{2}}+frac{2}{5 sqrt{2}}=A=sin (A+B) ) ( =int sin A+B=frac{1}{sqrt{2}} ) ( Rightarrow A+B=45^{circ} )

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